DOCSLIB.ORG

Collected Papers Series: Springer Collected Works in Mathematics

Total Page：16

File Type：pdf, Size：1020Kb

Download full-text PDF Read full-text
Collected Papers Series: Springer Collected Works in Mathematics springer.com Marcel Riesz, Lars Gårding, Lars Hörmander (Eds.) Collected Papers Series: Springer Collected Works in Mathematics Provides a clear overview of the works of Marcel Riesz Useful as a self-study guide Historical significance Marcel Riesz (1886-1969) was the younger of the famed pair of mathematicians and brothers. Although Hungarian he spent most of his professional life in Sweden. He worked on summability theory, analytic functions, the moment problem, harmonic and functional analysis, potential theory and the wave equation. The depth of his research and the clarity of his writing place his work on the same level as that of his brother Frédéric Riesz. This edition of his Collected Papers contains most of Marcel Riesz's published papers with the exception of a few papers in Hungarian that were subsumed into later books. It also includes a translation by J. Horváth of Riesz's thesis on summable trigonometric series and summable power series. They are thus a valuable reference work for libraries and for researchers. 1988, VIII, 897 p. 5 illus. With Reprint 2013 from the 1988 edition. Printed book Softcover [1]69,54 € (D) | 71,49 € (A) | CHF 77,00 Order online at springer.com / or for the Americas call (toll free) 1-800-SPRINGER / or email us at: [email protected]. / For outside the Americas call +49 (0) 6221-345-4301 / or email us at: [email protected]. The first € price and the £ and $ price are net prices, subject to local VAT. Prices indicated with [1] include VAT for books; the €(D) includes 7% for Germany, the €(A) includes 10% for Austria. Prices indicated with [2] include VAT for electronic products; 19% for Germany, 20% for Austria. All prices exclusive of carriage charges. Prices and other details are subject to change without notice. All errors and omissions excepted. [3] No discount for MyCopy. Part of .
Load more

Recommended publications
  • FROM a MEASURE THEORY to a THEORY of MEASURES Martinez
    XXIII ICHST T09-01 Mathematics in the Contemporary Period (1800-) FROM A MEASURE THEORY TO A THEORY OF MEASURES Martinez Adame, Carmen UNAM, Mexico The idea of this talk is to describe how Carathéodory developed what can be rightfully named a theory of measures from the ideas set out initially in the late 19th and early 20th Centuries by Jordan, Borel and Lebesgue (among others) even though this was not the envisaged goal of these authors. The three French authors we have mentioned all developed a measure as an auxiliary tool in their research, it is quite clear that none of them intended to study the measure they had created on its own; their goal was to facilitate and improve either integration theory or complex variable theory. However, it was the manner in which Borel and Lebesgue presented their measures that would eventually lead to Carathéodory’s approach and it is our claim that it is at this moment that an object called a “measure” was introduced as such in mathematics. In other words, it was the axiomatic approach followed by Lebesgue (and Borel) that allowed Carathéodory’s “formal theory of measurability” and eventually led to measure theory (as a theory whose objects are measures) as known today. THE RIESZ BROTHERS’S CORRESPONDENCE Péter Gábor Szabó University of Szeged, Hungary The Riesz brothers, Frigyes Riesz (1880-1956) and Marcel Riesz (1886-1969) were world famous mathematicians in the 20th century. Frigyes Riesz was one of the founders of functional analysis; the famous Riesz-Fischer theorem is familiar to every mathematician.
    [Show full text]
  • Commutative Harmonic Analysis
    BOLYAI SOCIETY A Panorama of Hungarian Mathematics MATHEMATICAL STUDIES, 14 in the Twentieth Century, pp. 159–192. Commutative Harmonic Analysis JEAN-PIERRE KAHANE The present article is organized around four themes: 1. the theorem of Fej´er, 2. the theorem of Riesz–Fischer, 3. boundary values of analytic functions, 4. Riesz products and lacunary trigonometric series. This does not cover the whole field of the Hungarian contributions to commutative harmonic analysis. A final section includes a few spots on other beautiful matters. Sometimes references are given in the course of the text, for example at the end of the coming paragraph on Fej´er. Other can be found at the end of the article. 1. The theorem of Fejer´ On November 19, 1900 the Acad´emiedes Sciences in Paris noted that it had received a paper from Leopold FEJEV in Budapest with the title “Proof of the theorem that a bounded and integrable function is analytic in the sense of Euler”. On December 10 the Comptes Rendus published the famous note “On bounded and integrable fonctions”, in which Fej´ersums, Fej´er kernel and Fej´ersummation process appear for the first time, and where the famous Fej´ertheorem, which asserts that any decent function is the limit of its Fej´ersums, is proved. The spelling error of November 19 in Fej´er’sname (Fejev instead of Fej´er)is not reproduced on December 10. It is replaced by an other one: the paper presented by Picard is attributed to Leopold TEJER. This is how Fej´er’sname enters into history (C.R.
    [Show full text]
  • Graduate Studies Texas Tech University
    77 75 G-7S 74 GRADUATE STUDIES TEXAS TECH UNIVERSITY Men and Institutions in American Mathematics Edited by J. Dalton Tarwater, John T. White, and John D. Miller K C- r j 21 lye No. 13 October 1976 TEXAS TECH UNIVERSITY Cecil Mackey, President Glenn E. Barnett, Executive Vice President Regents.-Judson F. Williams (Chairman), J. Fred Bucy, Jr., Bill E. Collins, Clint Form- by, John J. Hinchey, A. J. Kemp, Jr., Robert L. Pfluger, Charles G. Scruggs, and Don R. Workman. Academic Publications Policy Committee.-J. Knox Jones, Jr. (Chairman), Dilford C. Carter (Executive Director and Managing Editor), C. Leonard Ainsworth, Harold E. Dregne, Charles S. Hardwick, Richard W. Hemingway, Ray C. Janeway, S. M. Kennedy, Thomas A. Langford, George F. Meenaghan, Marion C. Michael, Grover E. Murray, Robert L. Packard, James V. Reese, Charles W. Sargent, and Henry A. Wright. Graduate Studies No. 13 136 pp. 8 October 1976 $5.00 Graduate Studies are numbered separately and published on an irregular basis under the auspices of the Dean of the Graduate School and Director of Academic Publications, and in cooperation with the International Center for Arid and Semi-Arid Land Studies. Copies may be obtained on an exchange basis from, or purchased through, the Exchange Librarian, Texas Tech University, Lubbock, Texas 79409. * Texas Tech Press, Lubbock, Texas 16 1976 I A I GRADUATE STUDIES TEXAS TECH UNIVERSITY Men and Institutions in American Mathematics Edited by J. Dalton Tarwater, John T. White, and John D. Miller No. 13 October 1976 TEXAS TECH UNIVERSITY Cecil Mackey, President Glenn E. Barnett, Executive Vice President Regents.-Judson F.
    [Show full text]
  • Quaternions in Mathematical Physics (1): Alphabetical Bibliography
    Quaternions in mathematical physics (1): Alphabetical bibliography∗ Andre Gsponer and Jean-Pierre Hurni Independent Scientific Research Institute Oxford, OX4 4YS, England ISRI-05-04.26 6 July 2008 Abstract This is part one of a series of four methodological papers on (bi)quaternions and their use in theoretical and mathematical physics: 1 - Alphabetical bib- liography, 2 - Analytical bibliography, 3 - Notations and definitions, and 4 - Formulas and methods. This quaternion bibliography will be further updated and corrected if necessary by the authors, who welcome any comment and reference that is not contained within the list. ∗Living report, to be updated by the authors, first posted on arXiv.org on October 16, 2005, anniversary day of the discovery of quaternions, on the occasion of the bicentenary of the birth of William Rowan Hamilton (1805–2005). arXiv:math-ph/0510059v4 6 Jul 2008 Figure 1: Plaque to William Rowan Hamilton at Brougham Bridge on the Royal Canal, now in the Dublin suburbs. c 2004, Royal Irish Academy. 1 1 Introduction The two component formulation of complex numbers, and the non-commutative algebra of quaternions, are possibly the two most important discoveries of Hamil- ton in mathematics. Using modern vector algebra notation, the quaternion product can be written [560] [a + A~][b + B~ ]= ab − A~ · B~ + aB~ + bA~ + A~ × B,~ (1) where [a + A~] and [b + B~ ] are two quaternions, that is four-number combinations Q := s + ~v of a scalar s and a three-component vector ~v, which may be real (i.e, quaternions, Q ∈ H) or complex (i.e., biquaternions, Q ∈ B).
    [Show full text]
  • HARDY SPACES the Theory of Hardy Spaces Is a Cornerstone of Modern Analysis
    CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS 179 Editorial Board B. BOLLOBAS,´ W. FULTON, F. KIRWAN, P. SARNAK, B. SIMON, B. TOTARO HARDY SPACES The theory of Hardy spaces is a cornerstone of modern analysis. It combines techniques from functional analysis, the theory of analytic functions, and Lesbesgue integration to create a powerful tool for many applications, pure and applied, from signal processing and Fourier analysis to maximum modulus principles and the Riemann zeta function. This book, aimed at beginning graduate students, introduces and develops the classical results on Hardy spaces and applies them to fundamental concrete problems in analysis. The results are illustrated with numerous solved exercises which also introduce subsidiary topics and recent developments. The reader’s understanding of the current state of the field, as well as its history, are further aided by engaging accounts of the key players and by the surveys of recent advances (with commented reference lists) that end each chapter. Such broad coverage makes this book the ideal source on Hardy spaces. Nikola¨ı Nikolski is Professor Emeritus at the Universite´ de Bordeaux working primarily in analysis and operator theory. He has been co-editor of four international journals and published numerous articles and research monographs. He has also supervised some 30 PhD students, including three Salem Prize winners. Professor Nikolski was elected Fellow of the AMS in 2013 and received the Prix Ampere` of the French Academy of Sciences in 2010. CAMBRIDGE STUDIES IN ADVANCED MATHEMATICS Editorial Board B. Bollobas,´ W. Fulton, F. Kirwan, P. Sarnak, B. Simon, B. Totaro All the titles listed below can be obtained from good booksellers or from Cambridge University Press.
    [Show full text]
  • The Early Career of G.H. Hardy
    THE EARLY CAREER OF G.H. HARDY by Brenda Davison B.A.Sc.(hons), University of British Columbia, 1989 a Thesis submitted in partial fulfillment of the requirements for the degree of Master of Science in the Department of Mathematics c Brenda Davison 2010 SIMON FRASER UNIVERSITY Summer 2010 All rights reserved. However, in accordance with the Copyright Act of Canada, this work may be reproduced, without authorization, under the conditions for Fair Dealing. Therefore, limited reproduction of this work for the purposes of private study, research, criticism, review and news reporting is likely to be in accordance with the law, particularly if cited appropriately. APPROVAL Name: Brenda Davison Degree: Master of Science Title of Thesis: The Early Career of G.H. Hardy Examining Committee: Dr. Veselin Jungić Chair Dr. W. Tom Archibald, Senior Supervisor Dr. Len Berggren, Supervisor Dr. Nilima Nigam, External Examiner Date Approved: ii Declaration of Partial Copyright Licence The author, whose copyright is declared on the title page of this work, has granted to Simon Fraser University the right to lend this thesis, project or extended essay to users of the Simon Fraser University Library, and to make partial or single copies only for such users or in response to a request from the library of any other university, or other educational institution, on its own behalf or for one of its users. The author has further granted permission to Simon Fraser University to keep or make a digital copy for use in its circulating collection (currently available to the public at the “Institutional Repository” link of the SFU Library website <www.lib.sfu.ca> at: <http://ir.lib.sfu.ca/handle/1892/112>) and, without changing the content, to translate the thesis/project or extended essays, if technically possible, to any medium or format for the purpose of preservation of the digital work.
    [Show full text]
  • EXTREMAL PROPERTIES of POLYNOMIALS Tamás Erdélyi This
    A PANORAMA OF HUNGARIAN MATHEMATICS IN THE TWENTIETH CENTURY: EXTREMAL PROPERTIES OF POLYNOMIALS Tamas´ Erdelyi´ This article focuses on those problems about extremal properties of polynomials that were considered by the Hungarian mathematicians Lip´ot Fej´er, Mih´aly Fekete, Marcel Riesz, Alfr´ed R´enyi, Gy¨orgy P´olya, G´abor Szeg˝o, P´al Erd˝os, P´al Tur´an, G´eza Freud, G´abor Somorjai, and their associates, who died and lived mostly in the twentieth century. It reflects my personal taste and is far from complete even within the subdomains we focus on most, namely inequalities for polynomials with constraints, M¨untz polynomials, and the geometry of polynomials. There are separate chapters of this book devoted to orthogonal polynomials, interpolation, and function series, so here we touch this issues only marginally. The numbers in square brackets refer to the bibliography at the end of the volume and the letters and abbreviated year numbers in square brackets refer to the list at the end of the article. 1. Markov- and Bernstein-Type Inequalities Let f A denote the supremum norm of a function f on A. The Markov inequality assertsk thatk 2 p0 [ 1,1] n p [ 1,1] k k − ≤ k k − holds for every polynomial p of degree at most n with complex coefficients. The inequality n p0(y) p [ 1,1] | |≤ 1 y2 k k− − holds for every polynomial p of degree atp most n with complex coefficients and for every y ( 1, 1), and is known as Bernstein inequality. Various analogues of the above two inequalities∈ − are known in which the underlying intervals, the maximum norms, and the family of functions are replaced by more general sets, norms, and families of functions, respectively.
    [Show full text]
  • Why Distinguish Between Statistics and Mathematical Statistics - the Case of Swedish Academia
    Why distinguish between statistics and mathematical statistics - the case of Swedish academia Lindgren, Georg; Guttorp, Peter 2016 Document Version: Other version Link to publication Citation for published version (APA): Lindgren, G., & Guttorp, P. (2016). Why distinguish between statistics and mathematical statistics - the case of Swedish academia. (Preprints in Mathematical Sciences; Vol. 2016:4, No. LUTFMS-5095-2016). Mathematical Statistics, Centre for Mathematical Sciences, Lund University. Total number of authors: 2 General rights Unless other specific re-use rights are stated the following general rights apply: Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal Read more about Creative commons licenses: https://creativecommons.org/licenses/ Take down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. LUND UNIVERSITY PO Box 117 221 00 Lund +46 46-222 00 00 Why distinguish between statistics and mathematical statistics { the case of Swedish academia Peter Guttorp1 and Georg Lindgren2 1Department of Statistics, University of Washington, Seattle 2Mathematical Statistics, Lund University, Lund 2016/08/15 Abstract A separation between the academic subjects statistics and mathematical statistics has existed in Sweden almost as long as there have been statistics professors.
    [Show full text]
  • A Century with Probability Theory: Some Personal Recollections
    The Annals of Probability 1976, Vol. 4, No. 4, 509{546. A CENTURY WITH PROBABILITY THEORY: SOME PERSONAL RECOLLECTIONS By HARALD CRAMER¶ University of Stockholm CONTENTS 1. Introduction 2. Probability theory before 1920 2.1. General remarks; foundations 2.2. The central limit theorem 2.3. Pioneering work on stochastic processes 3. A decade of preparation: 1920 to 1929 3.1. Stochastic processes and limit theorems 3.2. L¶evy'sbook of 1925; my own plans for a book 3.3. Foundations 3.4. The new Russian school 4. The great changes: 1930 to 1939 4.1. The Stockholm group 4.2. Foundations 4.3. Markov processes 4.4. Processes with independent increments 4.5. In¯nitely divisible distributions; arithmetic of distributions 4.6. Limit theorems 4.7. Characteristic functions 4.8. Stationary processes 4.9. Paris, London and Geneva, 1937{1939 5. The war years: 1940 to 1945 5.1. Isolation in Sweden 5.2. International development during war years 6. After the war: 1946 to 1970 6.1. Introductory remarks 2 6.2. Paris, Princeton, Yale, Berkeley, 1946{1947 6.3. Work in the Stockholm group 6.4. Moscow, 1955 6.5. Books on probability 6.6. Stationary and related stochastic processes 6.7. Structure problems for a general class of stochastic processes 6.8. Travels and work, 1961{1970 References We deeply appreciate Professor Cram¶er'sgracious interest in presenting these personal recollections of the development of probability during the half-century, 1920{70. Professor Cram¶erhas had a tremendous influence upon the development of both probability and statistics.
    [Show full text]
  • Tfa 40 (1985-1987) 249-251
    Obituary 249 David William Alexander Donald, OBE, TD On 25th April 1986 the Faculty lost one of its most distinguished Fellows when David Donald passed away suddenly after an evening spent dining with golfing friends. After leaving Dundee High School David enrolled as a student and completed the Faculty examinations before he was 21. It was the start of a brilliant career. In his office he rose to the top position of general manager and in the Faculty he served as tutor, examiner, member of council, honorary editor and finally as President from 1969-71. He also served for many years as national correspondent for I.A.A. His contributions to actuarial literature were many and varied and his contributions to discussion at sessional meetings were often controversial but always thought-provoking. He will perhaps be best remembered as the author of the textbook on Compound Interest and Annuities Certain which has now been in use for over 30 years. During the war David Donald rose from 2nd Lieutenant with the Black Watch to Lieutenant Colonel on the staff at General Headquarters, India. For his war service he was awarded the OBE and for service as a territorial, the Territorial Decoration. Outside of business and professional activities he gave generously of his time and substance in public service and in work for church and charitable organisations. David was good company for every occasion and he will be sadly missed by his many friends but he has well earned his rest and his place in the annals of the Faculty. G.
    [Show full text]
  • Why Distinguish Between Statistics and Mathematical Statistics - the Case of Swedish Academia
    Why distinguish between statistics and mathematical statistics - the case of Swedish academia Lindgren, Georg; Guttorp, Peter 2016 Document Version: Other version Link to publication Citation for published version (APA): Lindgren, G., & Guttorp, P. (2016). Why distinguish between statistics and mathematical statistics - the case of Swedish academia. (Preprints in Mathematical Sciences; Vol. 2016:4, No. LUTFMS-5095-2016). Mathematical Statistics, Centre for Mathematical Sciences, Lund University. Total number of authors: 2 General rights Unless other specific re-use rights are stated the following general rights apply: Copyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights. • Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal Read more about Creative commons licenses: https://creativecommons.org/licenses/ Take down policy If you believe that this document breaches copyright please contact us providing details, and we will remove access to the work immediately and investigate your claim. LUND UNIVERSITY PO Box 117 221 00 Lund +46 46-222 00 00 Why distinguish between statistics and mathematical statistics { the case of Swedish academia Peter Guttorp1 and Georg Lindgren2 1Department of Statistics, University of Washington, Seattle 2Mathematical Statistics, Lund University, Lund 2016/08/15 Abstract A separation between the academic subjects statistics and mathematical statistics has existed in Sweden almost as long as there have been statistics professors.
    [Show full text]
  • To the Memory of Lars Hörmander (1931–2012)
    To the Memory of Lars Hörmander (1931–2012) Jan Boman and Ragnar Sigurdsson, Coordinating Editors The eminent mathematician Lars Lars entered Lund University in the fall of 1948 Valter Hörmander passed away on to study mathematics and physics. Marcel Riesz November 25, 2012. He was the (1886–1969) became his mentor. Lars studied most leading figure in the dramatic de- of the courses on his own, but followed the lectures velopment of the theory of linear on analysis given by Riesz during 1948–50. In the partial differential equations during early fall of 1949 he completed a bachelor’s degree the second half of the twentieth and a master’s degree in the spring of 1950, century, and his L2 estimates for the which could have allowed him to earn his living @¯ equation became a revolutionary as a secondary school teacher at the age of only tool in complex analysis of several nineteen. variables. He was awarded the Fields In October 1951 Lars completed the licentiate Medal in 1962, the Wolf Prize in degree with a thesis entitled “Applications of 1988, and the Leroy P. Steele Prize Helly’s theorem to estimates of Tchebycheff type”, for Mathematical Exposition in 2006. written under the supervision of Riesz. Shortly Lars Hörmander 1996. He published 121 research articles afterwards Riesz retired from his professorship and 9 books, which have had a and moved to the US to remain there during most profound impact on generations of analysts. of the coming ten years. We have often been asked who was the PhD thesis advisor of Lars Hörmander.
    [Show full text]