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Analysis As a Life: to the 80Th Birthday of Professor H. Begehr

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Analysis As a Life: to the 80Th Birthday of Professor H. Begehr Trends in Mathematics Trends in Mathematics is a series devoted to the publication of volumes arising from conferences and lecture series focusing on a particular topic from any area of mathematics. Its aim is to make current developments available to the community as rapidly as possible without compromise to quality and to archive these for reference. Proposals for volumes can be submitted using the Online Book Project Submission Form at our website www.birkhauser-science.com. Material submitted for publication must be screened and prepared as follows: All contributions should undergo a reviewing process similar to that carried out by journals and be checked for correct use of language which, as a rule, is English. Articles without proofs, or which do not contain any significantly new results, should be rejected. High quality survey papers, however, are welcome. We expect the organizers to deliver manuscripts in a form that is essentially ready for direct reproduction. Any version of TEX is acceptable, but the entire collection of files must be in one particular dialect of TEX and unified according to simple instructions available from Birkhäuser. Furthermore, in order to guarantee the timely appearance of the proceedings it is essential that the final version of the entire material be submitted no later than one year after the conference. More information about this series at http://www.springer.com/series/4961 Sergei Rogosin • Ahmet Okay Çelebi Editors Analysis as a Life Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday Editors Sergei Rogosin Ahmet Okay Çelebi Department of Economics Mathematics Department Belarusian State University Yeditepe University Minsk, Belarus Ata¸sehir, Istanbul, Turkey ISSN 2297-0215 ISSN 2297-024X (electronic) Trends in Mathematics ISBN 978-3-030-02649-3 ISBN 978-3-030-02650-9 (eBook) https://doi.org/10.1007/978-3-030-02650-9 Library of Congress Control Number: 2018967001 © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This book is published under the imprint Birkhäuser, www.birkhauser-science.com by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland Preface The book contains several important research contributions from the different branches of analysis. These papers are combined due to the common idea. The authors express their gratitude to Professor Heinrich Begehr for his help in their research career and dedicate articles to Begehr’s 80th birthday. Scientific achievements by Prof. H. Begehr are well known (see a short biograph- ical paper below as well as the paper Vaitekhovich T.: Heinrich Begehr: Citation for his 70th birthday, Analysis, v. 30 (1), pp. 1–26). More important for analytic society is his numerous collaborations with people all around the world. Many mathematicians from different countries are thankful to him for the role he played in their scientific life. Professor H. Begehr is known also for his initiatives. Among them is his role in the creation and further development of the International Society for Analysis, its Applications and Computation (ISAAC). With this volume the colleagues and friends of Professor Heinrich Begehr would like to thank him and wish to have a long life in analysis. Minsk, Belarus Sergei Rogosin Istanbul, Turkey Ahmet Okay Çelebi August 2018 v Analysis as a Life: To the 80th Birthday of Professor H. Begehr Professor Heinrich Gottfried Werner Begehr has celebrated his 80th birthday a few months earlier than this book is appeared. We would like to present here a few biographic data and briefly describe his research career. Also we have given some reminiscence about his life. More information can be found at Prof. H.Begehr’s web-site at FU-Berlin: http://page.mi.fu-berlin.de/begehrh/. He was born in Halle/ Germany on April 17, 1939. He has obtained his M.Sc. degree in Freie Universtität (FU) Berlin in 1966. He has completed his Dr. rer. Nat. degree in 1968 under the supervision of Professor Alexander Dinghas and his habilitation in 1970 (just in 2 years) in FU Berlin. He worked as a Professor in FU from 1970 to 2004, that is, until the date he is retired. In 1972 he has been elected as the Director of I. Math. Inst. FU Berlin. He held this position with some interruptions, for about 18 years. In 1975 Professor R. P. Gilbert visited Hahn-Meitner Institute in Berlin by an Alexander von Humboldt award for a semester. During this period Professor Begehr and Professor Gilbert have interchanged many ideas. This cooperation have ended up with many joint papers, the book project “Transformations, Transmutations, and Kernel Functions” composed of two volumes, together with the first steps towards the foundation of the journal “Complex Analysis, Theory and Applications”. Later the name of this journal has evolved as “Complex Variables and Elliptic Equations”. The next important outcome of this cooperation was founding the “International Society for Analysis, its Applications and Computation (ISAAC)”. This society was founded in 1995. The sequence of International ISAAC Congress’s, which are held in every 2 years, has started in 1997 at the University of Delaware. He was the secretary and treasurer of newly founded ISAAC. In 2001, Professor Begehr was the first elected president of the Society. The other presidents were Man Wah Wong (2005–2009), Michael Ruzhansky (2009–2013), Luigi Rodino (2013–2017) and Michael Reissig (2017–). After 2005 he was secretary and treasurer until the elections in 2017. ISAAC has supported more than 35 conferences all around the world, besides 11 ISAAC Congresses. Begehr’s first book with title “Topics in complex analysis: Four lectures given at the University of Delaware in January and February 1977” has appeared in 1977. vii viii Analysis as a Life: To the 80th Birthday of Professor H. Begehr Now he has seven published books. He was one of the editors of 10 proceedings of the ISAAC congresses. He has translated or edited 30 books. He is the co-editor of – Berliner Studienreihe zur Mathematik, Heldermann Verlag, since 2004; (together with R. Gorenflo). – Series on Analysis, Applications and Computation, World Scientific, since 2005; (together with R. P. Gilbert, M. W. Wong). – Complex Variables and Elliptic Equations, Taylor and Francis, since 2008; (senior editor together with M. Lanza de Cristoforis and A. Pankov) He is also in the editorial board of the following journals and series of monographs: – Complex Variables and Elliptic Equations, since 1982; Taylor and Francis, – Monograph and Surveys in Pure and Applied Mathematics, since 1997; Chapman and Hall/CRC-Press, – Research Notes in Mathematics, since 1997; Chapman and Hall/CRC-Press, – International Society of Analysis, its Applications and Computation, during 1997–2004; Kluwer Academic publisher, – General Mathematics, since 2001; Lucian Blaga, Univ. of Sibiu, Romania, – Journal of Applied Functional Analysis, since 2004; NOVA Publ., – Journal of Analysis and Applications, since 2005; SAS Intern. Publ., – Advances in Algebra and Analysis, since 2005; Urmi Scientific Vision, – International Journal of Mathematics and Applications (IJMA), since 2005; Global Research Publications Serials, India – International Journal of Mathematics and Mathematical Sciences (IJMMS), since 2006; Hindawi Publ., – Advances in Pure and Applied Mathematics, since 2008; Hedermann Verlag, Lemgo. He has been invited to many foreign universities as “Guest Professor” and “Guest Research Professor”. He is a member of the following academic societies: – Berlin Mathematical Society, since 1984; – International Society of Analysis, its Applications and Computation, since 1996; – Member of Russian Academy of Natural Sciences, Armenian Branch, since 2002; – Member of European Acad. Sci., since 2004; – Foreign Member of Russian Academy of Natural Sciences, since 2003; – Honorary Member of Europaische Akad. Naturwiss. in Hanover, since 2003. The number of his research papers are more than 180. He is a very productive Ph.D. adviser. He has advised at least 26 students from nine different countries. He was a devoted teacher and continued to hold the weekly seminars after his retirement, too. Lastly, tracing his research papers and books, anybody can observe that Heinrich Begehr is an excellent co-worker. Analysis as a Life: To the 80th Birthday of Professor H. Begehr ix We are sure that his contributions to complex partial differential equations and generally to the world of Mathematics will continue through himself and his 26 students. Minsk, Belarus Sergei Rogosin Istanbul, Turkey Ahmet Okay Çelebi Berlin 2001 Ankara in April 2004 x Analysis as a Life: To the 80th Birthday of Professor H. Begehr Ankara 2007 Analysis as a Life: To the 80th Birthday of Professor H. Begehr xi Ankara 2007 Moscow 2011 xii Analysis as a Life: To the 80th Birthday of Professor H. Begehr Collage for Heinrich Begehr’s 70th birthday Analysis as a Life: To the 80th Birthday of Professor H.
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