TY - JOUR
ID - 34859
TI - Admissible Vectors of a Covariant Representation of a Dynamical System
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Bagheri Salec, Alireza
AU - Tabatabaie, Seyyed Mohammad
AU - Saadatmandan, Javad
AD - Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.
Y1 - 2019
PY - 2019
VL - 14
IS - 1
SP - 55
EP - 61
KW - Admissible vector
KW - Covariant representation
KW - Dynamical system
DO - 10.22130/scma.2018.72232.291
N2 - 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 $G$.
UR - http://scma.maragheh.ac.ir/article_34859.html
L1 - http://scma.maragheh.ac.ir/article_34859_c3964d27b2a7fb68a98419485805f13e.pdf
ER -