Spherical functions on the symmetric groups
β Scribed by M Brender
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 588 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
We determine integral formulas for the meromorphic extension in the \*-parameter of the spherical functions . \* on a noncompactly causal symmetric space. The main tool is Bernstein's theorem on the meromorphic extension of complex powers of polynomials. The regularity properties of . \* are deduced
We define new solutions of the hypergeometric system that are invariant with respect to a parabolic Weyl subgroup. They generalize the spherical functions of an ordered symmetric space. We study their properties with respect to monodromy, their analytic extensions and their boundary value on the ima
Hanlon, P., A Markov chain on the symmetric group and Jack symmetric functions, Discrete Mathematics 99 (1992) 123-140. Diaconis and Shahshahani studied a Markov chain Wf(l) whose states are the elements of the symmetric group S,. In W,(l), you move from a permutation n to any permutation of the for
Suppose that K/U(n) is a compact Lie group acting on the (2n+1)-dimensional Heisenberg group H n . We say that (K, H n ) is a Gelfand pair if the convolution algebra L 1 K (H n ) of integrable K-invariant functions on H n is commutative. In this case, the Gelfand space 2(K, H n ) is equipped with th