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Showing 1 to 2 of 2 for “"spherical function"”.
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The unramified principal series of p-adic groups : the Bessel function
… principal series of G known as the "Bessel function" at torus elements of dominant coweight. I show that the Bessel function shares many properties with the Macdonald spherical function of G, in particular the properties described in Casselman's 1980 evaluation of that function. The analogy …
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Spherical Functions on Supersymmetric Spaces and Calogero-Moser-Sutherland Operators
In this thesis, we formulate the notion of a spherical function on a supersymmetric space, based on the canonical Hopf superalgebra structure of enveloping superalgebras. We present a comprehensive framework for spherical functions within the context of symmetric pairs (𝔤, 𝔨) of Lie superalgebras. …