@article { author = {Bagheri Salec, Alireza and Tabatabaie, Seyyed Mohammad and Saadatmandan, Javad}, title = {Admissible Vectors of a Covariant Representation of a Dynamical System}, journal = {Sahand Communications in Mathematical Analysis}, volume = {14}, number = {1}, pages = {55-61}, year = {2019}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2018.72232.291}, 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 $G$.}, keywords = {Admissible vector,Covariant representation,Dynamical system}, url = {https://scma.maragheh.ac.ir/article_34859.html}, eprint = {https://scma.maragheh.ac.ir/article_34859_c3964d27b2a7fb68a98419485805f13e.pdf} }