7 citations · 7 across the 4 of their papers we have counts for
4 papers
The Paley-Wiener Theorem for the Jacobi Transform and the Local Huygens' Principle for Root Systems with Even Multiplicities
Thomas Branson, Gestur Olafsson, Angela Pasquale
This note is a continuation of the previous paper math.AP/0411383 by the same authors. Its purpose is to extend the results of math.AP/0411383 to the context of root systems with e…
The Paley-Wiener Theorem and the Local Huygens' Principle for Compact Symmetric Spaces
Thomas Branson, Gestur Olafsson, Angela Pasquale
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 suppor…
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…
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…