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GEOMETRIC ANALYSIS ON SYMMETRIC SPACES
Publisher:
ORIENT BLACKSWAN
| Author:
HELGASON SIGURDUR
| Language:
English
| Format:
Paperback
Publisher:
ORIENT BLACKSWAN
Author:
HELGASON SIGURDUR
Language:
English
Format:
Paperback
₹1,435 ₹1,291
Save: 10%
In stock
Ships within:
1-4 Days
In stock
ISBN:
SKU
9780821868959
Category Uncategorized
Category: Uncategorized
Page Extent:
656
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 Eigen space 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
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Description
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 Eigen space 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
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