DOCSLIB.ORG

9<HTOHRE=Djjcah>

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
9<HTOHRE=Djjcah> springer.com/booksellers Springer News 11/12/2008 Mathematics 37 V. Adamyan, Y. Berezansky, I. Gohberg, V. Adamyan, Y. Berezansky, I. Gohberg, V. Adamyan (Ed.) M. L. Gorbachuk, V. Gorbachuk, A. N. Kochubei, M. L. Gorbachuk, V. Gorbachuk, A. N. Kochubei, H. Langer, G. Popov (Eds.) H. Langer,G. Popov (Eds.) Modern Analysis and Modern Analysis and Modern Analysis and Applications Applications Applications The Mark Krein Centenary Conference The Mark Krein Centenary Conference – The Mark Krein Centenary Conference – Volume 1 Volume 2 These two volumes contain peer-reviewed research and survey papers based on invited talks at the This is the first of two volumes containing peer- This is the second of two volumes containing International Conference on Modern Analysis reviewed research and survey papers based on peer-reviewed research and survey papers based and Applications. The conference, which was invited talks at the International Conference on on invited talks at the International Confer- dedicated to the 100th anniversary of the birth of Modern Analysis and Applications. The confer- ence on Modern Analysis and Applications. The Mark Krein, one of the greatest mathematicians ence, which was dedicated to the 100th anni- conference, which was dedicated to the 100th of the 20th century, was held in Odessa, Ukraine, versary of the birth of Mark Krein, one of the anniversary of the birth of Mark Krein, one of the on April 9-14, 2007. The papers describe the greatest mathematicians of the 20th century, was greatest mathematicians of the 20th century, was contemporary development of subjects influenced held in Odessa, Ukraine, on April 9-14, 2007. The held in Odessa, Ukraine, on April 9-14, 2007. The by Krein, such as the theory of operators in Hilbert papers describe the contemporary development of papers describe the contemporary development of and Krein spaces, differential operators, applica- subjects influenced by Krein, such as the theory of subjects influenced by Krein, such as the theory of tions of functional analysis in function theory, operators in Hilbert and Krein spaces, differential operators in Hilbert and Krein spaces, differential theory of networks and systems, mathematical operators, applications of functional analysis in operators, applications of functional analysis in physics and mechanics. function theory, theory of networks and systems, function theory, theory of networks and systems, mathematical physics and mechanics. mathematical physics and mechanics. Features 7 Wide panorama of the development of func- Features Features tional analysis, operator theory, and their applica- 7 Wide panorama of the development of func- 7 Wide panorama of the development of func- tions 7 Many contributions by active members of tional analysis, operator theory, and their applica- tional analysis, operator theory, and their applica- scientific schools founded by Mark Krein tions 7 Many contributions by active members of tions 7 Many contributions by active members of scientific schools founded by Mark Krein scientific schools founded by Mark Krein Fields of interest Analysis; Operator Theory; Functional Analysis Fields of interest Fields of interest Analysis; Operator Theory; Functional Analysis Analysis; Operator Theory; Functional Analysis Target groups Researchers in operator theory, functional analysis, Target groups Target groups and integral equations Researchers in operator theory, functional analysis, Researchers in operator theory, functional analysis, and integral equations and integral equations Type of publication Commemorative publication Type of publication Type of publication Commemorative publication Commemorative publication Mathematics Mathematics Mathematics Due April 2009 Due April 2009 Due April 2009 2009. Approx. 500 p. (Operator Theory) Hardcover 2009. Approx. 500 p. (Operator Theory) Hardcover 2009. Approx. 1000 p. (2-volume-set) (Operator Theory) 7 € 169,00 | £133.50 7 € 169,00 | £133.50 7 € 299,00 | £236.50 9<HTOHRE=djjbie>ISBN 978-3-7643-9918-4 9<HTOHRE=djjcah>ISBN 978-3-7643-9920-7 9<HTOHRE=djjcef>ISBN 978-3-7643-9924-5 38 Mathematics Springer News 11/12/2008 springer.com/booksellers A. Andrianov, Russian Academy of the Sciences, S. Barwick, University of Adelaide, SA, Australia; D. J. Bernstein, J. Buchmann, E. Dahmen (Eds.) St. Petersburg, Russia G. Ebert, University of Delaware, Newark, DE, USA Post Quantum Cryptography Introduction to Siegel Unitals in Projective Planes Modular Forms and Dirichlet Series Quantum computers will break today’s most This book is a monograph on unitals embedded in popular public-key cryptographic systems, finite projective planes. Unitals are key structures including RSA, DSA, and ECDSA. This book This is intended for a graduate course on Siegel in projective planes, and have connections with introduces the reader to the next generation of modular forms, Hecke operators, and related zeta other structures in algebra. They play a signifi- cryptographic algorithms, the systems that resist functions. The author’s aim is to present a concise cant role in the classification of finite planes and quantum-computer attacks: in particular, post- and self-contained introduction to an important provide a link between groups and geometries. quantum public-key encryption systems and post- and developing area of number theory that will There is a considerable number of research articles quantum public-key signature systems. serve to attract young researchers to this beautiful about unitals, and there also exist many open Leading experts have joined forces for the first field. problems. This book is a thorough survey of the time to explain the state of the art in quantum Topics include: -analytical properties of radial research literature on embedded unitals which computing, hash-based cryptography, code-based Dirichlet series attached to modular forms of collects this material in book form for the first cryptography, lattice-based cryptography, and genuses 1 and 2; - the abstract theory of Hecke– time. The book is aimed at graduate students and multivariate cryptography. Mathematical founda- Shimura rings for symplectic and related groups; researchers who want to learn about this topic tions and implementation issues are included. -action of Hecke operators on Siegel modular without reading all the original articles. This book is an essential resource for students and forms; -applications of Hecke operators to a study The primary proof techniques used involve linear researchers who want to contribute to the field of of multiplicative properties of Fourier coeffi- algebraic arguments, finite field arithmetic, some post-quantum cryptography. cients of modular forms; -Hecke zeta functions of elementary number theory, and combinatorial modular forms in one variable and to spinor (or enumeration. Some computer results not previ- Features Andrianov) zeta functions of Siegel modular forms ously found in the literature also are mentioned in 7 Contributors to the book take on the big chal- of genus two; -the proof of analytical continuation the text. lenge in cryptography, namely: what to do when and functional equation (under certain assump- someone will break the crypto-systems of today tions) for Euler products associated with modular Features forms of genus two. 7 No other book on unitals, book will fill that Fields of interest void 7 Text is clear and easy to follow 7 Book is Number Theory; Data Encryption; Mathematics of Features well-structured and comprehensive with excellent Computing 7 Will become a standard reference on the subject diagrams 7 Intended for graduate students and keeps Target groups prerequisites to a minimum 7 Gives provocative Contents Cryptologists in mathematics, computer science, examples in the simplest and most accessible terms Preface.- Preliminaries.- Hermitian curves and engineering, and industry 7 Author is an expert who has originated many unitals.- Translation planes.- Unitals embedded important ideas in the subject in desarguesian planes.- Unitals embedded in Type of publication non-desarguesian planes.- Combinatorial ques- Contributed volume Contents tions and associated configurations.- Character- Preface.- Introduction: The Two Features ization results.- Open problems.- Nomenclature of Arithmetical Zeta Functions.- Modular of unitals.- Group theoretic characterizations of Forms.- Dirichlet Series of Modular Forms.- unitals.- References.- Notation index.- Index. Hecke-Shimura Rings of Double Cosets.- Hecke Operators.- Euler Factorization of Radial Series.- Fields of interest Conclusion: Other Groups, Other Horizons.- Geometry; Combinatorics; Algebra Notes.- Short Bibliography.- Target groups Fields of interest Graduate students and researchers Number Theory; Algebra Type of publication Target groups Monograph Graduate students, researchers Type of publication Graduate/Advanced undergraduate textbook Mathematics Mathematics Mathematics Due December 2008 Due December 2008 Due December 2008 2009. XII, 196 p. 29 illus. (Springer Monographs in 2009. Approx. 210 p. (Universitext) Softcover Mathematics) Hardcover 2009. XII, 245 p. Hardcover 7 € 42,95 | £32.50 7 € 54,95 | £43.99 7 approx. € 59,95 | £47.99 9<HTLDTH=hihfch>ISBN 978-0-387-78752-7 9<HTLDTH=hgdgee>ISBN 978-0-387-76364-4 9<HTOFPA=iihaba>ISBN 978-3-540-88701-0 springer.com/booksellers Springer News 11/12/2008 Mathematics 39 L. A. Bokut, E. Zelmanov, I. Shestakov, V. Latyshev W. J. Cook, L. Lovász, J. Vygen (Eds.) A. Deitmar, University of Tübingen, Germany; (Eds.) S. Echterhoff, University of
Load more

Recommended publications
  • Bart, Hempfling, Kaashoek. (Eds.) Israel Gohberg and Friends.. on The
    Israel Gohberg and Friends On the Occasion of his 80th Birthday Harm Bart Thomas Hempfling Marinus A. Kaashoek Editors Birkhäuser Basel · Boston · Berlin Editors: Harm Bart Marinus A. Kaashoek Econometrisch Instituut Department of Mathematics, FEW Erasmus Universiteit Rotterdam Vrije Universiteit Postbus 1738 De Boelelaan 1081A 3000 DR Rotterdam 1081 HV Amsterdam The Netherlands The Netherlands e-mail: [email protected] e-mail: [email protected] Thomas Hempfling Editorial Department Mathematics Birkhäuser Publishing Ltd. P.O. Box 133 4010 Basel Switzerland e-mail: thomas.hempfl[email protected] Library of Congress Control Number: 2008927170 Bibliographic information published by Die Deutsche Bibliothek Die Deutsche Bibliothek lists this publication in the Deutsche Nationalbibliografie; detailed bibliographic data is available in the Internet at <http://dnb.ddb.de>. ISBN 978-3-7643-8733-4 Birkhäuser Verlag, Basel – Boston – Berlin This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use permission of the copyright owner must be obtained. © 2008 Birkhäuser Verlag AG Basel · Boston · Berlin P.O. Box 133, CH-4010 Basel, Switzerland Part of Springer Science+Business Media Printed on acid-free paper produced of chlorine-free pulp. TCF ∞ Printed in Germany ISBN 978-3-7643-8733-4 e-ISBN 978-3-7643-8734-1 9 8 7 6 5 4 3 2 1 www.birkhauser.ch Contents Preface.......................................................................ix CongratulationsfromthePublisher...........................................xii PartI.MathematicalandPhilosophical-MathematicalTales...................1 I.
    [Show full text]
  • Implications for Understanding the Role of Affect in Mathematical Thinking
    Mathematicians and music: Implications for understanding the role of affect in mathematical thinking Rena E. Gelb Submitted in partial fulfillment of the requirements for the degree of Doctor of Philosophy under the Executive Committee of the Graduate School of Arts and Sciences COLUMBIA UNIVERSITY 2021 © 2021 Rena E. Gelb All Rights Reserved Abstract Mathematicians and music: Implications for understanding the role of affect in mathematical thinking Rena E. Gelb The study examines the role of music in the lives and work of 20th century mathematicians within the framework of understanding the contribution of affect to mathematical thinking. The current study focuses on understanding affect and mathematical identity in the contexts of the personal, familial, communal and artistic domains, with a particular focus on musical communities. The study draws on published and archival documents and uses a multiple case study approach in analyzing six mathematicians. The study applies the constant comparative method to identify common themes across cases. The study finds that the ways the subjects are involved in music is personal, familial, communal and social, connecting them to communities of other mathematicians. The results further show that the subjects connect their involvement in music with their mathematical practices through 1) characterizing the mathematician as an artist and mathematics as an art, in particular the art of music; 2) prioritizing aesthetic criteria in their practices of mathematics; and 3) comparing themselves and other mathematicians to musicians. The results show that there is a close connection between subjects’ mathematical and musical identities. I identify eight affective elements that mathematicians display in their work in mathematics, and propose an organization of these affective elements around a view of mathematics as an art, with a particular focus on the art of music.
    [Show full text]
  • Fundamental Theorems in Mathematics
    SOME FUNDAMENTAL THEOREMS IN MATHEMATICS OLIVER KNILL Abstract. An expository hitchhikers guide to some theorems in mathematics. Criteria for the current list of 243 theorems are whether the result can be formulated elegantly, whether it is beautiful or useful and whether it could serve as a guide [6] without leading to panic. The order is not a ranking but ordered along a time-line when things were writ- ten down. Since [556] stated “a mathematical theorem only becomes beautiful if presented as a crown jewel within a context" we try sometimes to give some context. Of course, any such list of theorems is a matter of personal preferences, taste and limitations. The num- ber of theorems is arbitrary, the initial obvious goal was 42 but that number got eventually surpassed as it is hard to stop, once started. As a compensation, there are 42 “tweetable" theorems with included proofs. More comments on the choice of the theorems is included in an epilogue. For literature on general mathematics, see [193, 189, 29, 235, 254, 619, 412, 138], for history [217, 625, 376, 73, 46, 208, 379, 365, 690, 113, 618, 79, 259, 341], for popular, beautiful or elegant things [12, 529, 201, 182, 17, 672, 673, 44, 204, 190, 245, 446, 616, 303, 201, 2, 127, 146, 128, 502, 261, 172]. For comprehensive overviews in large parts of math- ematics, [74, 165, 166, 51, 593] or predictions on developments [47]. For reflections about mathematics in general [145, 455, 45, 306, 439, 99, 561]. Encyclopedic source examples are [188, 705, 670, 102, 192, 152, 221, 191, 111, 635].
    [Show full text]
  • Birkhäuser Mathematics 2009 /2010
    Order Information Distribution Centers Editorial Matters To order any of our books or Europe, Asia, Africa, Birkhäuser Verlag AG journals please contact your Australia Viaduktstrasse 42 local bookseller or order at Birkhäuser Customer Service 4051 Basel/Switzerland www.birkhauser.ch c/o Springer Customer Tel: +41 / 61 / 2 05 07 07 Service Center Fax: +41 / 61 / 2 05 07 99 To subscribe or unsubscribe Haberstrasse 7 to this catalogue please 69126 Heidelberg/Germany Editors: contact Dr. Thomas Hempfling Books: [email protected] Executive Editor Tel.: +49 / 6221 / 345 43 01 Mathematics Fax: +49 / 6221 / 345 42 29 All prices are recommended [email protected] [email protected] prices, except Euro prices for Birkhäuser German titles. Journals: Dr. Barbara Hellriegel EUR prices are net prices. Tel. +49 / 6221 / 345 43 01 Editor EUR (D) prices are gross Fax +49 / 6221 / 345 42 29 Applied Mathematics/Computer Birkhäuser prices including 7% German [email protected] Science VAT. [email protected] Switzerland, Liechtenstein EUR (A) prices are gross Mathematics Balmer Bücherdienst AG Mathematics prices including 10% Dr. Karin Neidhart Customer Service Austrian VAT. Editor Kobiboden CHF prices are gross prices. History of Science 8840 Einsiedeln/Switzerland Prices are subject to change [email protected] 2009 /2010 without notice. Tel.: +41 / 848 / 840 820 Fax: +41 / 848 / 840 830 [email protected] 2009/2010 North and South America Birkhäuser Boston Birkhäuser Boston 233 Spring Street c/o Springer
    [Show full text]
  • Bibliography
    Bibliography [AA66] Vadim M. Adamjan and Damir Z. Arov, Unitary couplings of semi- unitary operators, (Russian) Mat. Issled. 1 (1966), no. 2, 3–64. [AA68] Vadim M. Adamjan and Damir Z. Arov, A general solution of a cer- tain problem in the linear prediction of stationary processes, (Rus- sian) Teor. Verojatnost. i Primenen. 13 (1968) 419–431; English translation: Theor. Probability Appl. 13 (1968), 394–407 [AAK71] Vadim M. Adamjan, Damir Z. Arov and Mark G. Krein, Analytic properties of Schmidt pairs of a Hankel operator and the generalized Schur–Takagi problem, (Russian) Mat. Sb. (N.S.) 86(128) (1971), 34– 75; English translation: Math USSR Sbornik 15 (1971), no. 1, 31–73. [AR68] Naum I. Ahiezer, and Alexander M. Rybalko, Continual analogues of polynomials orthogonal on a circle, (Russian) Ukrain.Mat.Z.20 (1968), no. 1, 3–24. [AlD84] Daniel Alpay and Harry Dym, Hilbert spaces of analytic functions, in- verse scattering and operator models, I., Integral Equations Operator Theory 7 (1984), no. 5, 589–641. [AlD85] Daniel Alpay and Harry Dym, Hilbert spaces of analytic functions, in- verse scattering and operator models, II., Integral Equations Operator Theory 8 (1985), no. 2, 145–180. [AlD93] Daniel Alpay and Harry Dym, On a new class of structured repro- ducing kernel spaces, J. Functional Analysis 111 (1993), no. 1, 1–28. [AlG95] Daniel Alpay and Israel Gohberg, Inverse spectral problem for differ- ential operators with rational scattering matrix functions, J. Differ- ential Equations 118 (1995), no. 1, 1–19. [AlG97] Daniel Alpay and Israel Gohberg, State space method for inverse spec- tral problems, in: Systems and Control in the Twenty-first Century (St.
    [Show full text]
  • Conferences & Ph.D Students
    CONFERENCES 2019 "Operator Theory and Krein Spaces", Vienna, Austria, December 19-22 2019 "Spectral Theory and Differential Equations" Sveti Martin na Muri, Croatia, September 8-13 2019 "AMS Spring Eastern Sectional Meeting" University of Connecticut, Hartford, CT, USA, April 13-14 2018 "Modeling, Analysis, and Approximation Theory" Humboldt University, Berlin, Germany, August 19-20 2018 "Advances in Operator Theory with Applications to Mathematical Physics" Chapman University, Orange, CA, USA, November 12-16 2017 "Stefan Banach Conference in Functional Analysis" Lviv, Ukraine, September, 18 - 23 2017 Summer School, "Modeling, Analysis, and Approximation Theory" L¨ubeck, Germany, July 31 { August 4 2015 All-Ukrainian conference "Modern problems of probability theory and mathematical analysis", Vorokhta, Ukraine, February 25-28 2015 Workshop "Spectral Theory and Weyl Function" Oberwolfach, Germany, January, 4 - 10 2014 "Operator Theory, Analysis and Mathematical Physics" Stockholm, Sweden, July 7 - 11 2013 Workshop "System and Operator Realizations of Analytic Functions" Leiden, The Netherlands, February, 17-24 2010 IWOTA, 21-th International Workshop on Operator Theory and its Applications Berlin, Germany, July 12 { 16 2009 Workshop "Boundary Relations, extension theory and applications" Leiden, The Netherlands, December 13-18 2009 Ukrainian Mathematical Congress, Kiev, Ukraine, August 27-29 2009 Haifa Matrix Theory Conference, Haifa, Israel, May 18 - 21 2008 8-th Workshop "Operator Theory in Krein Spaces and Spectral Analysis", Berlin,
    [Show full text]
  • Birkhäuser Mathematics Catalog 2007 New and Recent Titles
    Birkhäuser Mathematics Catalog 2007 New and recent titles Journals Distribution Centres Editorial Matters All countries excluding USA / Canada / Latin America Birkhäuser Verlag AG those listed below: Birkhäuser Boston, Inc. P.O. Box 133 Birkhäuser Customer Service 333 Meadowlands Parkway CH – 4010 Basel c/o SDC Secaucus, NJ 07094-2491, USA Tel: +41 / 61 / 2 05 07 07 Haberstrasse 7 Tel.: +1 / 800 / 777 4643 Fax: +41 / 61 / 2 05 07 92 D-69126 Heidelberg Fax: +1 / 201 / 348 4505 Tel.: +49 / 6221 / 345 0 e-mail: [email protected] Editors: Fax: +49 / 6221 / 345 42 29 www.birkhauser.com Dr. Thomas Hempfling e-mail: [email protected] Executive Editor Mathematics/Physics Switzerland / Liechtenstein [email protected] Balmer Bücherdienst AG Customer Service Dr. Stefan Göller Bösch 41 Editor CH-6331 Hünenberg Computational Sciences and Tel.: +41 / 41 / 726 98 00 Engineering, History of Science Fax: +41 / 41 / 726 98 01 [email protected] e-mail: [email protected] Austria / Eastern Europe Peter Nosoli / Alfred Bruckner Birkhäuser Boston, Inc. Birkhäuser Verlag AG 675, Massachussets Avenue c/o Springer Verlag Wien Cambridge, MA 02139 / USA Sachsenplatz 4-6 P.O. Box 89, A-1201 Wien Editors: Tel.: +43 / 1 / 330 24 15 /248 od. 224 Ann Kostant Fax: +43 / 1 / 330 24 26 62 Executive Editor e-mail: [email protected] Mathematics/Physics [email protected] Australia / New Zealand Order information for journals: Tom Grasso D.A. Information Services Birkhäuser Customer Service Journals Editor 648 Whitehorse Road c/o SDC Computational Sciences Mitcham Vic 3132 Haberstrasse 7 and Engineering Australia 69129 Heidelberg [email protected] Tel.: +613 / 9210 7777 Germany Fax: +613 / 9210 7788 Tel.
    [Show full text]
  • Mathematics Calendar
    Mathematics Calendar The most comprehensive and up-to-date Mathematics Calendar information is available on the AMS website at http://www.ams.org/mathcal/. March 2007 for Advanced Study, Princeton), Matt Kerr (University of Chicago), Igor Krichever (Columbia University), Herbert Lange (Erlangen, * 24–25 59th midwest partial differential equations seminar, Germany), David Lehavi (University of Michigan), Alina Marian University of Kentucky, Lexington, Kentucky. (Yale University), Martin Olsson (University of California, Berkeley), Speakers: Pascal Auscher, University of Paris, XI; Tanya Chris- Giuseppe Pareschi (University of Rome-2, Italy), Ravi Vakil (Stan- tiansen, University of Missouri, Columbia; Marianne Korten, Kansas ford University), Alessandro Verra (University of Rome-3, Italy), State University; Yanyan Li, Rutgers University; Arshak Petrosyan, Claire Voisin (University of Paris-7, France), Ilia Zharkov (Harvard Purdue University; Antonioˆ S´a Barreto, Purdue University; Monica University). Visan, The Institute for Advanced Study; Yuxi Zheng, Pennsylvania State University. Organizers: Valery Alexeev and Elham Izadi. Organizers:RussellBrown([email protected]),PeterHislop, Support: Support is available for graduate students and recent John Lewis and Changyou Wang. Ph.D.s to attend. Information: http://www.ms.uky.edu/~rbrown/midwpde07/. Information:http://www.math.uga.edu/~valery/conf07/conf07. html. * 28–30 3rd International Symposium on Computational Intelli- gence and Intelligent Informatics, Agadir, Morocco. Description: While continuing to to encourage high quality inno- * 31–April 2 Learning Technologies and Mathematics Middle East vative papers, the SOC remains committed to facilitate encounters Conference, Sultan Qaboos University, Muscat, Sultanate of Oman. and exchanges among the top researchers in the field and rising Program: Invited lectures related to reforming the mathematics stars.
    [Show full text]
  • IWOTA 2010 Book of Abstracts
    IWOTA 2010 July 12–16 Technische Universit¨atBerlin Book of Abstracts Some boundary value problems for operator-differential equations of mixed type and their applications to inverse problems N.L. Abasheeva First we consider the questions on existence and uniqueness of a so- lution to the boundary value problem B(t)ut = L(t)u + f(t), t ∈ (0,T ), T < ∞, u(T ) − u(0) = u0. Here B(t) are self-adjoint operators and L(t) are uniformly dissipative operators acting in a complex Hilbert space E with the inner product (·, ·) and the norm k · k. The operator B(t) can be noninvertible and has arbitrary arrangement of the spectrum. Then we apply obtained results to the following linear inverse problem: to find a function u(t) and an element ϕ satisfying the equation B(t)ut = Lu + f(t) + B(0)ϕ and the boundary conditions u(0) = u0, u(T ) = u1. Trace formula in perturbation theory V. Adamyan In this talk we discuss some old and recent results on the trace formula of perturbation theory in Hilbert and Krein spaces and the contribution of Heinz Langer to the elaboration of this issue. 3 Quasiconformal mappings associated with Gahov’s equation in inverse boundary value problems A. Akhmetova The question on the quantity of roots of so called Gahov’s equation is of importance for the theory of inverse boundary value problems, because it determines the quantity of decisions of that problems. As known, it coincides with the number N of extreme points of conformal radius. R ≡ R(D, z) = |f 0(ζ)|(1 − |ζ|2), (1) where z = f(ζ), ζ ∈ E = {ζ : |ζ| < 1},D = f(E).
    [Show full text]
  • From Banach to Plichko Organizing Institutions
    Banach Spaces and their Applications International Conference dedicated to the 70th birthday of Anatolij Plichko _______________ 26-29 June 2019 Lviv, Ukraine A sketch of the History of Abstract Functional Analysis in Ukraine: from Banach to Plichko Organizing Institutions Ivan Franko National University of Lviv Vasyl Stefanyk Precarpathian National University Pidstryhach Institute for Applied Problems of Mechanics and Yurii Fedkovych Chernivtsi Mathematics of National Academy of Sciences of Ukraine National University Kyiv Lviv Kharkiv Ivano-Frankivsk Chervona Kamyanka Chernivtsi In XIX century and till the end of the IWW, Lviv and Chernivtsi were important cities of the Austro-Hungarian Empire, being capitals of Galicia and Bukovina provinces Lemberg Czernowitz The Lviv University is the oldest university in Ukraine, which traces its history from Jesuit Collegium founded in 1608. In 1661 the Polish King Jan Kazimierz granted the title of University to the Collegium. The building of the former Jesuit convictus was given to the Lviv university in 1851. In 1920, the Lviv University moved to the former building of the Galician Parliament. In times of Banach, mathematicians worked in this building. Many brilliant mathematicians worked at the Lviv University during its long history. The most famous is of course Stefan Banach. But the phenomenon of Banach and Lwów mathematical school could not appear without intensive preliminary work of mathematicians of Austrian time. Stefan Banach (1892 – 1945) A key role in development of Lviv mathematics in Austrian time belongs to Józef Puzyna, professor of mathematics, brilliant lector and organizer of science, Rector of the Lviv university in 1905. K. Kuratowski wrote that J.
    [Show full text]
  • Contents Short Stories ………………
    Contents Short stories ……………….. 1 Our emigration ……………… 1 Miracles ……………… 14 We are in Japan …………… 21 Events and Observations …. 24 A little bit about our people .. 27 Justice ……………………. 30 Stories “with wine” ………..…… 30 Unusual natural phenomena … 39 David Milman ………………… 51 Banach ………………… 65 Desires and Reality ………….. 72 About Mathematics ………….. 78 Conclusion ……………….. 100 Acknowledgements. I am infinitely grateful to Ludmila Milman for taking care of me and her advices, to Vladimir Milman, Michael Sonin and Miriam Herzberg for taking care of my bad English in a number of places of these texts, to Tatyana Petrova for her help with files to Alex Segal for introducing me to Google voice typing system, to Jan Rauchwerger for his help in all aesthetic matters, and all my friends who read these stories and expressed their opinion, and, specially, to Misha Sodin. Short stories Our emigration from the USSR I write this in 2020. We came to Israel in 1973. Many years have passed since then, and I forgot almost everything about it. But some events that were part of this story were so dramatic and difficult that I still remember them vividly. On the emotional level it all began with the Six-Day War in 1967. We became proud of Israel and ourselves. But it was not possible even to think about leaving for Israel from Chernogolovka, a restricted (“closed”) academic town where we lived at that time. Various events had an emotional impact on us. But the strongest impetus was external. My cousin, an Israeli-born Uri Shafrir, suddenly came to see us as part of a very large group of academics from the US.
    [Show full text]
  • Springer Book Archives Seite 1 Title 1980
    Springer Book Archives Title Subtitle Originators Copyright year `Concerning Natural Experimental Philosophie' Meric Casaubon and the Royal Society Michael R.G. Spiller 1980 Adapted Behaviour and Shifting Species `Fingerprints' of Climate Change Ranges G.-R. Walther; Conradin A. Burga; P.J. Edwards 2002 `Force of Order and Method'. An American View into the Dutch Directed Society M. Blanken 1976 Reform Efforts in the United States and West `Moral Order' and the Criminal Law Germany O. Lee; T.A. Robertson 1973 "Statistische Begründung und statistische Analyse" statt "Statistische Erklärung". Indeterminismus vom zweiten Typ. Das Repräsentationstheorem von de Finetti. Metrisierung qualitativer Wahrscheinlichkeitsfelder Wolfgang Stegmüller 1973 From the Archives of Valarian Nikolaevich "VPERED!", 1873-1877 Smirnov Boris Sapir; Brian Pearce 1974 T. Ratajczak; C.-M. Stegers; Arbeitsgemeinschaft Rechtsanwälte im Medizinrecht e.V.; K.-O. Bergmann; H.-P. Greiner; G. Hölling; A. Krämer; R. Lemke; M. Lindemann; P. Rumler-Detzel; J. "Waffen-Gleichheit" Das Recht in der Arzthaftung Schulte; M. Stellpflug; T. Taupitz 2002 C.T. Whelan; H.R.J. Walters; A. Lahmam-Bennani; (e,2e) & Related Processes H. Ehrhardt 1993 (Over)Interpreting Wittgenstein A. Biletzki 2003 1 x 1 der Infektiologie auf Intensivstationen Diagnostik, Therapie, Prophylaxe R. Füssle; J. Biscoping; A. Sziegoleit 2002 Grundlagen, Standardtherapien und neue 1 x 1 der Psychopharmaka Konzepte Margot Schmitz 2004 10 Years Plant Molecular Biology R.A. Schilperoort; Leon Dure 1992 Seite 1 Springer Book Archives 10. Kongreß der Deutschsprachigen Gesellschaft für Intraokularlinsen-Implantation Daniel Vörösmarthy; Gernot Duncker; Christian und refraktive Chirurgie 22. bis 23. März 1996, Budapest Hartmann 1997 100 Years of Virology The Birth and Growth of a Discipline Charles H.
    [Show full text]