Introduction to Algebraic Curves (Translations of Mathematical Monographs) (Mathematical Surveys and Monographs) - Hardcover

Helgason, Sigurdur

Hardcover

ISBN 10: 0821845306 ISBN 13: 9780821845301

Publisher: American Mathematical Society, 1992

Synopsis

This book gives the first systematic exposition of geometric analysis on Riemannian symmetric spaces and its relationship to the representation theory of Lie groups. The book starts with modern integral geometry for double fibrations and treats several examples in detail. After discussing the theory of Radon transforms and Fourier transforms on symmetric spaces, inversion formulas, and range theorems, Helgason examines applications to invariant differential equations on symmetric spaces, existence theorems, and explicit solution formulas, particularly potential theory and wave equations.The canonical multitemporal wave equation on a symmetric space is included. The book concludes with a chapter on eigenspace representations - that is, representations on solution spaces of invariant differential equations. Known for his high-quality expositions, Helgason received the 1988 Steele Prize for his earlier books ""Differential Geometry"", ""Lie Groups and Symmetric Spaces and Groups"" and ""Geometric Analysis"". Containing exercises (with solutions) and references to further results, this revised edition would be suitable for advanced graduate courses in modern integral geometry, analysis on Lie groups, and representation theory of Lie groups.

Edition details

• Publisher: American Mathematical Society
• Publication date: 1992
• Language: English
• ISBN 10: 0821845306
• ISBN 13: 9780821845301
• Binding: Hardcover
• Number of pages: 637