Spherical distributions on harmonic extensions of pseudo--type groups.
Spherical Functions and a q-Analogue of Kostant's Weight Multiplicity Formula.
Spherical functions and spectral synthesis
Spherical functions and uniformly bounded representations of free groups
We give a construction of an analytic series of uniformly bounded representations of a free group G, through the action of G on its Poisson boundary. These representations are irreducible and give as their coefficients all the spherical functions on G which tend to zero at infinity. The principal and the complementary series of unitary representations are included. We also prove that this construction and the other known constructions lead to equivalent representations.
Spherical functions on a family of quantum 3-spheres
Spherical Functions on a Simply Connected Semisimple Lie Group. II. The Paley-Wiener Theorem for the Rank one Case.
Spherical functions on finite split extensions
Spherical functions on ordered symmetric spaces
We define on an ordered semi simple symmetric space a family of spherical functions by an integral formula similar to the Harish-Chandra integral formula for spherical functions on a Riemannian symmetric space of non compact type. Associated with these spherical functions we define a spherical Laplace transform. This transform carries the composition product of invariant causal kernels onto the ordinary product. We invert this transform when is a complex group, a real form of , and when ...
Spherical quadrature formulas with equally spaced nodes on latitudinal circles.
Superstability of functional equations related to spherical functions
In this paper we prove stability-type theorems for functional equations related to spherical functions. Our proofs are based on superstability-type methods and on the method of invariant means.
Sur la transformation d'Abel des groupes de Lie semisimples de rang un
Sur la transformation de Radon de la sphère
Terme constant des fonctions tempérées sur un espace symétrique réductif.
The asymptotics of spherical functions and the central limit theorem on symmetric cones
We prove a central limit theorem for certain invariant random variables on the symmetric cone in a formally real Jordan algebra. This extends form the previous results of Richards and Terras on the cone of real positive definite matrices.
The determination of convex bodies from the size and shape of their projections and sections
We survey results concerning the extent to which information about a convex body's projections or sections determine that body. We will see that, if the body is known to be centrally symmetric, then it is determined by the size of its projections. However, without the symmetry condition, knowledge of the average shape of projections or sections often determines the body. Rather surprisingly, the dimension of the projections or sections plays a key role and exceptional cases do occur but appear to...
The Fourier Transform of Harish-Chandra's c-Function and Inversion of the Able Transform.
The infinite Brownian loop on a symmetric space.
The irreducible unitary -spherical representations of
The Poisson equation in homogeneous Sobolev spaces.
The Poisson Transform for Split Reductive Symmetric Spaces.