Harmonic Analysis on Homogeneous Spaces Book Reviews
Harmonic Analysis on Homogeneous Spaces by Nolan R. Wallach Book Summary
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.
Book Name | Harmonic Analysis on Homogeneous Spaces |
Genre | Mathematics |
Author | Nolan R. Wallach |
Published | 12 December 2018, Wednesday |
Language | English |
E-Book Size | 35.52 MB |
Harmonic Analysis on Homogeneous Spaces (Nolan R. Wallach) Book Reviews 2024
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Summary of Harmonic Analysis on Homogeneous Spaces by Nolan R. Wallach
The Harmonic Analysis on Homogeneous Spaces book written by Nolan R. Wallach was published on 12 December 2018, Wednesday in the Mathematics category. A total of 98 readers of the book gave the book 0 points out of 5.
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