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Admissible Vectors of a Covariant Representation of a Dynamical System

Journal: Sahand Communications in Mathematical Analysis (Vol.14, No. 1)

Publication Date:

Authors : ; ; ;

Page : 55-61

Keywords : Admissible vector; Covariant representation; Dynamical system;

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Abstract

In this paper, we introduce admissible vectors of covariant representations of a dynamical system which are extensions of the usual ones, and compare them with each other. Also, we give some sufficient conditions for a vector to be admissible vector of a covariant pair of a dynamical system.  In addition, we show the existence of Parseval frames for some special subspaces of $L^2(G)$ related to a uniform lattice of $G$.

Last modified: 2019-04-28 14:13:45