The matrix-valued spherical functions for the pair (K× K, K), K= SU (2), are studied. By
restriction to the subgroup A, the matrix-valued spherical functions are diagonal. For suitable …

In Part 1 we study the spherical functions on compact symmetric pairs of arbitrary rank under
a suitable multiplicity freeness assumption and additional conditions on the branching rules …

In this dissertation we present a construction of matrix valued polynomials in one variable,
with special properties, out of matrix coefficients on certain compact groups. The …

We will show that an uniform treatment yields Wiener–Tauberian type results for various
Banach algebras and modules consisting of radial sections of some homogenous vector …

Introduction. Studying quantization, FA Berezin (see [1]) introduced a family Bλ of G-invariant
kernels on a Hermitian symmetric space G/K. For “large” values of the parameter λ these …

We prove an analogue of Schwartz's theorem on spectral analysis for radial sections of
some homogeneous vector bundles on noncompact Riemannian symmetric spaces. We …

In Part 1 we study the spherical functions on compact symmetric pairs of arbitrary rank under
a suitable multiplicity freeness assumption and additional conditions on the branching rules …

In Part 1 we study the spherical functions on compact symmetric pairs of arbitrary rank under
a suitable multiplicity freeness assumption and additional conditions on the branching rules …

The matrix-valued spherical functions for the pair (K× K, K), K= SU (2), are studied. By
restriction to the subgroup A the matrix-valued spherical functions are diagonal. For suitable …

Recent results on the harmonic analysis of spinor fields on the complex hyperbolic space H
n (C) are reviewed. We discuss the action of the invariant differential operators on the …