University of MaraghehSahand Communications in Mathematical Analysis2322-580714120190401Admissible Vectors of a Covariant Representation of a Dynamical System55613485910.22130/scma.2018.72232.291ENAlireza Bagheri SalecDepartment of Mathematics, Faculty of Science, University of Qom, Qom, Iran.Seyyed Mohammad TabatabaieDepartment of Mathematics, Faculty of Science, University of Qom, Qom, Iran.Javad SaadatmandanDepartment of Mathematics, Faculty of Science, University of Qom, Qom, Iran.Journal Article20170923In 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 $G$.http://scma.maragheh.ac.ir/article_34859_c3964d27b2a7fb68a98419485805f13e.pdf