Groups with frames of translates

Colloquium Mathematicum, vol. 167, pp. 73–91

Abstract

Let $G$ be a locally compact group with left regular representation $\lambda _{G}$. We say that $G$ admits a frame of translates if there exist a countable set $\Gamma \subset G$ and $\varphi \in L^{2}(G)$ such that $(\lambda _{G}(x) \varphi )_{x \in \Gam

Authors 2

1. Hartmut Führ Aachen Lehrstuhl A für Mathematik

   RWTH Aachen University

   Affiliation as printed

   Lehrstuhl A für Mathematik RWTH Aachen University D-52056 Aachen, Germany

2. Vignon Oussa

   Bridgewater State University

   Affiliation as printed

   Department of Mathematics Bridgewater State University Bridgewater, MA 02324, U.S.A