Groups and Geometric Analysis - Integral Geometry, Invariant Differential Operators, and Spherical Functions (Paperback)

Group-theoretic methods have taken an increasingly prominent role in analysis. Some of this change has been due to the writings of Sigurdur Helgason. This book is an introduction to such methods on spaces with symmetry given by the action of a Lie group. The introductory chapter is a self-contained account of the analysis on surfaces of constant curvature. Later chapters cover general cases of the Radon transform, spherical functions, invariant operators, compact symmetric spaces and other topics. This book, together with its companion volume, Geometric Analysis on Symmetric Spaces (AMS Mathematical Surveys and Monographs series, vol. 39, 1994), has become the standard text for this approach to geometric analysis. Sigurdur Helgason was awarded the Steele Prize for outstanding mathematical exposition for Groups and Geometric Analysis and Differential Geometry, Lie Groups and Symmetric Spaces.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Mathematical Surveys and Monographs
Release date:	June 2022
Authors:	Sigurdur Helgason
Format:	Paperback
Pages:	667
ISBN-13:	978-0-8218-3211-0
Categories:	Books
LSN:	0-8218-3211-5
Barcode:	9780821832110

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