ENGLISH

Introduction to algebraic curves

By Phillip A. Griffiths

Book information

Publisher
American Mathematical Society
Year
1989
ISBN
0821845373, 9780821845370, 0821845306
Open Library ID
OL22722496M
Language
english
Format
DJVU
Filesize
2 MB (1815544 bytes)
Series
Translations of mathematical monographs 76
Pages
229\229
Topic
Mathematics Algebra
Library
Kolxo3
DPI
600
Scanned
yes
Time added
2009-07-20 03:45:11

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 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.

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