Overview
- First monograph ever written on the specific subject of Taylor coefficients and multipliers
- Offers a complete, systematic, and up-to-date overview of almost all known research results in the area
- Useful for both researchers and graduate students with an interest in complex analysis and operator theory
- Includes supplementary material: sn.pub/extras
Part of the book series: RSME Springer Series (RSME, volume 2)
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Table of contents (14 chapters)
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Front Matter
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Back Matter
Keywords
About this book
This book provides a systematic overview of the theory of Taylor coefficients of functions in some classical spaces of analytic functions and especially of the coefficient multipliers between spaces of Hardy type. Offering a comprehensive reference guide to the subject, it is the first of its kind in this area. After several introductory chapters covering the basic material, a large variety of results obtained over the past 80 years, including the most recent ones, are treated in detail.
Several chapters end with discussions of practical applications and related topics that graduate students and experts in other subjects may find useful for their own purposes. Thus, a further aim of the book is to communicate to non-specialists some concrete facts that may be of value in their own work. The book can also be used as a textbook or a supplementary reference for an advanced graduate course. It is primarily intended for specialists in complex and functional analysis, graduate students, and experts in other related fields.
Authors and Affiliations
About the authors
Miroljub Jevtić graduated and received his Ph.D. from the University of Belgrade, where he was a Professor of Mathematical Analysis and a Principal Investigator on several research grants until his recent retirement. He has also spent three semesters as a visiting professor at the University of Wisconsin in Madison. He has published over 75 research papers, including 50 in indexed journals. His research involves real, functional, harmonic, and complex analysis (both in one and several variables), primarily in relation to the Hardy and Bergman spaces of analytic functions.
Dragan Vukotić graduated from the University of Belgrade, where he was also a Teaching Assistant, and received his Ph.D. from the University of Michigan, Ann Arbor. After a year at Northwestern University he switched to Universidad Autónoma de Madrid. He was also an adjunct member of the ICMAT Institute in Madrid and a visiting scholar at the Mittag-Leffler Institut. He hasbeen a Principal Investigator on several research grants in Spain. He has authored more than 40 research papers, together with coauthors from various countries, on geometric function theory, spaces of analytic functions, and the operators that act on them.
Miloš Arsenović graduated from the University of Belgrade and received his Ph.D from the University of California, Berkeley. After holding a postdoctoral position at Yale University, he is currently a Professor of Mathematics at the University of Belgrade. Having published more than 30 research papers, his research interests include function spaces, geometric function theory, and harmonic analysis.
Bibliographic Information
Book Title: Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces
Authors: Miroljub Jevtić, Dragan Vukotić, Miloš Arsenović
Series Title: RSME Springer Series
DOI: https://doi.org/10.1007/978-3-319-45644-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-45643-0Published: 04 January 2017
Softcover ISBN: 978-3-319-83336-1Published: 29 April 2018
eBook ISBN: 978-3-319-45644-7Published: 24 December 2016
Series ISSN: 2509-8888
Series E-ISSN: 2509-8896
Edition Number: 1
Number of Pages: XVI, 323
Topics: Functions of a Complex Variable, Functional Analysis, Operator Theory