Gelfand-Naimark Decomposition and the Harish-Chandra c-Function
This chapter continues the integral representation of spherical functions. Most of it is due to Harish-Chandra [Har 58a], who recognized and developed the role of Ū = t U in his theory of spherical inversion. This chapter develops the information which arises from the Gelfand-Naimark decomposition.
KeywordsHaar Measure Spherical Function Polar Decomposition Double Coset Absolute Convergence
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