Admissible Vectors of a Covariant Representation of a Dynamical System
Journal: Sahand Communications in Mathematical Analysis (Vol.14, No. 1)Publication Date: 2019-04-01
Authors : Alireza Bagheri Salec; Seyyed Mohammad Tabatabaie; Javad Saadatmandan;
Page : 55-61
Keywords : Admissible vector; Covariant representation; Dynamical system;
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 $G$.
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Last modified: 2019-04-28 14:13:45