Groups and geometric analysis : integral geometry, invariant differential operators, and spherical functions - Hardcover

Unknown, Author

Hardcover

ISBN 10: 0123383013 ISBN 13: 9780123383013

Publisher: Academic Press, 1984

Synopsis

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.

About this title

From the Publisher:

The author was awarded "The Steele Prize: of the American Mathematical Society in 1988 for this book together with its companion volume "Differential Geometry, Lie Groups and Symmetric Spaces," Academic Press, 1978.

Review:

The book is excellent both as a text and as a reference work: it will clearly become another instant classic.
--ZENTRALBLATT FUR MATHEMATIK

About this edition

• Publisher: Academic Press
• Publication date: 1984
• ISBN 10: 0123383013
• ISBN 13: 9780123383013
• Binding: Hardcover
• Edition number: 1
• Number of pages: 654