ENGLISH

Groups and geometric analysis: Integral geometry, invariant differential operators, and spherical functions

By Sigurdur Helgason

Book information

Publisher
Academic Press
Year
1984
ISBN
0123383013, 9780123383013, 9780080874326
LCC
QA3,QA387
Language
english
Format
DJVU
Filesize
4 MB (3830251 bytes)
Pages
677\677
Library
Kolxo3
DPI
300
Time added
2009-12-04 00:34:26

Description

This volume is intended as an introduction to group-theoretic methods in analysis on spaces that possess certain amounts of mobility and symmetry. The focus is on the three topics in the subtitle. The introductory chapter deals with the three two-dimensional cases of constant curvature requiring only elementary methods and no Lie theory. Chapter I deals with modern integral geometry and Radon transforms. The second chapter deals with the interconnection between Lie groups and differential operators whereas Chapter V develops the theory of spherical functions on semisimple Lie groups with a certain degree of completeness. Each chapter concludes with "Exercises and Further Results" and solutions/references are provided at the end of the book.

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