Abstract
Contents: The Concept of a Spherical Function Structure of Semisimple Lie Groups and Differential Operators on Them The Elementary Spherical Functions The Harish-Chandra Series for and the c-Function Asymptotic Behaviour of Elementary Spherical Functions The L2-Theory. The Harish-Chandra Transform on the Schwartz Space of G//K LP-Theory of Harish-Chandra Transform. Fourier Analysis on the Spaces CP(G//K) Bibliography Subject Index.
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