Overview
- The approach employed in this book is the best suited for dealing with the subject in a systematic fashion.
- Most of the results are the best possible, giving answers to all questions that naturally arise in the topic and presenting the complete picture of corresponding phenomenon
- Some significant results are published here for the first time
- The proofs only involve concepts and facts which are indispensable to the essence of the subject
- There is no other book available that features the same treatment of symmetric spaces
Part of the book series: Springer Monographs in Mathematics (SMM)
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Table of contents (21 chapters)
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Symmetric Spaces. Harmonic Analysis on Spheres
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Transformations with Generalized Transmutation Property Associated with Eigenfunctions Expansions
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Mean Periodicity
Keywords
About this book
Reviews
From the reviews:
“This book is devoted to some recent developments in the harmonic analysis of mean periodic functions on symmetric spaces and Heisenberg group … . Many topics appear here for the first time in book form. The book under review was written by two leading experts who have made extensive and deep contributions to the subject in the last fifteen years. … an in-depth, modern, clear exposition of the advanced theory of harmonic analysis on the symmetric domain of rank one and the Heisenberg group.” (Jingzhi Tie, Mathematical Reviews, Issue 2011 f)
“The book is a … comprehensive research monograph, based on the author’s work. … Each section contains an introduction, notes and remarks. The book presents a modern and ambitious theme of harmonic analysis. … will mainly attract experts.” (H. G. Feichtinger, Monatshefte für Mathematik, Vol. 163 (1), May, 2011)
“The book under review is a masterly treatise whose aim is to present the theory of mean periodic functions in symmetric spaces and on the Heisenberg group … . This book is for experts in geometric analysis. … of general interest to researchers in differential geometry, analysis and probability whose work wanders into symmetric spaces. It should certainly be in the library of every university where there is research in mathematics.” (Dave Applebaum, The Mathematical Gazette, Vol. 95 (534), November, 2011)
Bibliographic Information
Book Title: Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group
Authors: Valery V. Volchkov, Vitaly V. Volchkov
Series Title: Springer Monographs in Mathematics
DOI: https://doi.org/10.1007/978-1-84882-533-8
Publisher: Springer London
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag London 2009
Hardcover ISBN: 978-1-84882-532-1Published: 17 July 2009
Softcover ISBN: 978-1-4471-2283-8Published: 30 November 2011
eBook ISBN: 978-1-84882-533-8Published: 13 June 2009
Series ISSN: 1439-7382
Series E-ISSN: 2196-9922
Edition Number: 1
Number of Pages: XI, 671
Topics: Analysis, Functional Analysis, Fourier Analysis, Integral Equations, Special Functions, Approximations and Expansions