The Fourier coefficients of a smooth K-invariant function on a compact symmetric spaceM = U/K are given by integration of the function against the spherical functions. For functions with support in a… (More)

We present a new method of calculating intertwining operators between principal series representations of semisimple Lie groups G. Working in the compact realization we nd the eigenvalues of the… (More)

Let G/H be a semisimple symmetric space. The main tool to embed a principal series representation of G into L(G/H) are the H -invariant distribution vectors. If G/H is a non-compactly causal… (More)

In this paper we present an abstract framework for construction of Banach spaces of distributions from group representations. This generalizes the theory of coorbit spaces initiated by H.G.… (More)

Let G=H be a semisimple globally hyperbolic symmetric space and let ' be a H-spherical function on G=H. We derive an expansion formula for ' similar to the Harish-Chandra formula for spherical… (More)

The continuous wavelet transform has become a widely used tool in applied science during the last decade. In this article we discuss some generalizations coming from actions of closed subgroups of… (More)

We prove a Paley-Wiener Theorem for a class of symmetric spaces of the compact type, in which all root multiplicities are even. This theorem characterizes functions of small support in terms of… (More)

The notions of reflection, symmetry, and positivity from quantum field theory are shown to induce a duality operation for a general class of unitary representations of Lie groups. The semisimple Lie… (More)

We consider the following class of unitary representations π of some (real) Lie group G which has a matched pair of symmetries described as follows: (i) Suppose G has a period-2 automorphism τ , and… (More)