11 citations · 30 across the 19 of their papers we have counts for
7 papers · 1 filter
Paley-Wiener theorems for the -spherical transform: an overview
G. Olafsson, A. Pasquale
The aim of this article is to give an overview of several types of Paley-Wiener theorems occuring in harmonic analysis related to symmetric spaces. This will serve as a motivation…
The Generalized Segal-Bargmann transform and Special Functions
Mark Davidson, Gestur Olafsson
Analysis of function spaces and special functions are closely related to the representation theory of Lie groups. We explain here the connection between the Laguerre functions, the…
Groups, Wavelets, and Wavelet Sets
Gestur Olafsson, Darrin Speegle
Wavelet and frames have become a widely used tool in mathematics, physics, and applied science during the last decade. This article gives an overview over some well known results a…
A Paley-Wiener theorem for the -spherical transform: the even multiplicity case
Gestur Olafsson, Angela Pasquale
The -spherical functions generalize the spherical functions on Riemannian symmetric spaces and the spherical functions on non-compactly causal symmetric spaces. In this article…
Continuous action of Lie groups on and Frames
Gestur Olafsson
Wavelet and frames have become a widely used tool in mathematics, physics, and applied science during the last decade. In this article we discuss the construction of frames for $L^…
Fock spaces corresponding to positive definite linear transformations
R. Fabec, G. Olafsson, A. Sengupta
Suppose is a positive real linear transformation on a finite dimensional complex inner product space . The reproducing kernel for the Fock space of square integrable holomor…