Harmonic Analysis of Mean Periodic Functions on Symmetric Spaces and the Heisenberg Group (Hardcover, 2009 ed.)

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.

General

Imprint:	Springer London
Country of origin:	United Kingdom
Series:	Springer Monographs in Mathematics
Release date:	July 2009
First published:	2009
Authors:	Valery V. Volchkov • Vitaly V. Volchkov
Dimensions:	235 x 155 x 42mm (L x W x T)
Format:	Hardcover
Pages:	671
Edition:	2009 ed.
ISBN-13:	978-1-84882-532-1
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis
LSN:	1-84882-532-3
Barcode:	9781848825321

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