E-Books →Harmonic Analysis on Homogeneous Spaces Second Edition

Free Download Nolan R. Wallach, "Harmonic Analysis on Homogeneous Spaces: Second Edition "
English | ISBN: 0486816923 | 2018 | 384 pages | AZW3 | 33 MB
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.