Harmonic Analysis on Homogeneous Spaces (Dover Books on Mathematics)

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9780486816920: Harmonic Analysis on Homogeneous Spaces (Dover Books on Mathematics)
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This book is aimed at readers 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. Later chapters study the structure of representation theory and analysis of non-compact semi-simple Lie groups. Helpful Appendixes develop aspects of differential geometry, Lie theory, and functional analysis used in the main text.

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About the Author:

Nolan R. Wallach is Professor of Mathematics at the University of California, San Diego. In early 2018, Dover will also publish the second edition of his Symplectic Geometry and Fourier Analysis.

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NolanR. Wallach
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ISBN 10: 0486816923 ISBN 13: 9780486816920
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Book Description Dover Publications Inc., United States, 2018. Paperback. Condition: New. Language: English. Brand new Book. 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.Teachers will find this volume useful as either a main text or a supplement to standard one-year courses in Lie groups and Lie algebras. The treatment advances from fairly simple topics to more complex subjects, and exercises appear at the end of each chapter. Eight helpful Appendixes develop aspects of differential geometry, Lie theory, and functional analysis employed in the main text. Seller Inventory # AA99780486816920

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Book Description Paperback. Condition: New. Paperback. This book is aimed at readers with a strong background in linear algebra and advanced calculus. Early chapters develop representation theory of compact Lie groups with applications to topo.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 224 pages. 0.341. Seller Inventory # 9780486816920

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