| 书目名称 | Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group | | 编辑 | Valery V. Volchkov,Vitaly V. Volchkov | | 视频video | | | 概述 | 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 ar | | 丛书名称 | Springer Monographs in Mathematics | | 图书封面 |  | | 描述 | The theory of mean periodic functions is a subject which goes back to works of Littlewood, Delsarte, John and that has undergone a vigorous development in recent years. There has been much progress in a number of problems concerning local - pects of spectral analysis and spectral synthesis on homogeneous spaces. The study oftheseproblemsturnsouttobecloselyrelatedtoavarietyofquestionsinharmonic analysis, complex analysis, partial differential equations, integral geometry, appr- imation theory, and other branches of contemporary mathematics. The present book describes recent advances in this direction of research. Symmetric spaces and the Heisenberg group are an active ?eld of investigation at 2 the moment. The simplest examples of symmetric spaces, the classical 2-sphere S 2 and the hyperbolic plane H , play familiar roles in many areas in mathematics. The n Heisenberg groupH is a principal model for nilpotent groups, and results obtained n forH may suggest results that hold more generally for this important class of Lie groups. The purpose of this book is to develop harmonic analysis of mean periodic functions on the above spaces. | | 出版日期 | Book 2009 | | 关键词 | Convolution and transmutation operators; Eigenfunction expansions; Mean periodicity; Spectral analysis | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-84882-533-8 | | isbn_softcover | 978-1-4471-2283-8 | | isbn_ebook | 978-1-84882-533-8Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer-Verlag London 2009 |
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发表于 2025-3-21 17:14:25
