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Taschenbuch. Zustand: Neu. Complex Analysis I | Entire and Meromorphic Functions Polyanalytic Functions and Their Generalizations | A. A. Gonchar (u. a.) | Taschenbuch | Encyclopaedia of Mathematical Sciences | ix | Englisch | 2010 | Springer | EAN 9783642081279 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
Sprache: Englisch
Verlag: Springer, Springer Vieweg, 1996
ISBN 10: 3540547037 ISBN 13: 9783540547037
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book contains two surveys on important topics in complex analysis. It addresses graduate students and researchers in complex analysis.
Zustand: New. This volume is devoted to some topical problems and various applications of operator theory and its interplay with modern complex analysis. 30 carefully selected surveys and research papers are united by the "operator theoretic ideology" and systematic use of modern function theoretical techniques. Editor(s): Khavin, Viktor Petrovich; Nikol'skii, N. K. Series: Operator Theory: Advances and Applications. Num Pages: 418 pages, biography. BIC Classification: BG; PBKD; PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 236 x 156 x 24. Weight in Grams: 920. . 2000. Hardback. . . . . Books ship from the US and Ireland.
Sprache: Englisch
Verlag: Springer Berlin Heidelberg, 2010
ISBN 10: 3642081274 ISBN 13: 9783642081279
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - The first part of the volume contains a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications. It includes the fundamental notions, methods and results on the growth of entire functions and the distribution of their zeros, the Rolf Nevanlinna theory of distribution of values of meromorphic functions including the inverse problem, the theory of completely regular growth, the concept of limit sets for entire and subharmonic functions. The authors describe the interpolation by entire functions, to entire and meromorphic solutions of ordinary differential equations, to the Riemann boundary problem with an infinite index and to the arithmetic of the convolution semigroup of probability distributions. Polyanalytic functions form one of the most natural generalizations of analytic functions and are described in Part II. They emerged for the first time in plane elasticity theory where they found important applications (due to Kolossof, Mushelishvili etc.). This book contains a detailed review of recent investigations concerning the function-theoretical pecularities of polyanalytic functions (boundary behavour, value distributions, degeneration, uniqueness etc.). Polyanalytic functions have many points of contact with such fields of analysis as polyharmonic functions, Nevanlinna Theory, meromorphic curves, cluster set theory, functions of several complex variables etc.