On the Banach-Mazur distance of finite-dimensional symmetric Banach spaces and the hypergeometric distribution
Carsten Schütt (1982)
Studia Mathematica
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Displaying similar documents to “Macdonald formula for spherical functions on affine buildings”
On the Banach-Mazur distance of finite-dimensional symmetric Banach spaces and the hypergeometric distribution
A class of completely monotonic functions
C. G. G. Van Herk (1951)
Compositio Mathematica
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L multipliers and their H-L estimates on the Heisenberg group.
Chin-Cheng Lin (1995)
Revista Matemática Iberoamericana
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We give a Hörmander-type sufficient condition on an operator-valued function M that implies the L-boundedness result for the operator T defined by (Tf)^ = Mf^ on the (2n + 1)-dimensional Heisenberg group H. Here ^ denotes the Fourier transform on H defined in terms of the Fock representations. We also show the H-L boundedness of T, ||Tf|| ≤ C||f||, for H under the same hypotheses of L-boundedness.
The reciprocal of the beta function and Whittaker functions
Eric Stade (1994)
Annales de l'institut Fourier
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In this paper we derive, using the Gauss summation theorem for hypergeometric series, a simple integral expression for the reciprocal of Euler’s beta function. This expression is similar in form to several well-known integrals for the beta function itself. We then apply our new formula to the study of Whittaker functions, which are special functions that arise in the Fourier theory for automorphic forms on the general linear group. Specifically, we deduce explicit integral...
An application of Kloosterman sums
Imre Z. Ruzsa, Andrzej Schinzel (1995)
Compositio Mathematica
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On the distribution of s-dimensional Kronecker-sequences
Gerhard Larcher (1988)
Acta Arithmetica
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Steiner's formula for the volume of a parallel hypersurface in a riemannian manifold
E. Abbena, A. Gray, L. Vanhecke (1981)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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