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Harmonic Analysis on Homogeneous Spaces: Second Edition

Harmonic Analysis on Homogeneous Spaces: Second Edition

Paperback

Series: Dover Books on Mathematics

General Mathematics

Currently unavailable to order

ISBN10: 0486816923
ISBN13: 9780486816920
Publisher: Dover Pubn Inc
Published: Dec 18 2018
Pages: 384
Weight: 1.15
Height: 0.90 Width: 5.90 Depth: 8.90
Language: English
This book is suitable for advanced undergraduate and graduate students in mathematics with a strong background in linear algebra and advanced calculus. Early chapters develop representation theory of compact Lie groups with applications to topology, geometry, and analysis, including the Peter-Weyl theorem, the theorem of the highest weight, the character theory, invariant differential operators on homogeneous vector bundles, and Bott's index theorem for such operators. Later chapters study the structure of representation theory and analysis of non-compact semi-simple Lie groups, including the principal series, intertwining operators, asymptotics of matrix coefficients, and an important special case of the Plancherel theorem.

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General Mathematics