Harmonic Analysis on Homogeneous Spaces overhanging gables
Harmonic Analysis on Homogeneous Spaces overhanging gablesThis 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
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