Admissible Vectors of a Covariant Representation of a Dynamical System

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 add...

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Main Authors:	Alireza Bagheri Salec, Seyyed Mohammad Tabatabaie, Javad Saadatmandan
Format:	Article
Language:	English
Published:	University of Maragheh 2019-04-01
Series:	Sahand Communications in Mathematical Analysis
Subjects:	Admissible vector Covariant representation Dynamical system
Online Access:	http://scma.maragheh.ac.ir/article_34859_c3964d27b2a7fb68a98419485805f13e.pdf

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spelling	doaj-265437425ce94234b26b6488e8e318702020-11-25T01:26:10ZengUniversity of MaraghehSahand Communications in Mathematical Analysis2322-58072423-39002019-04-01141556110.22130/scma.2018.72232.29134859Admissible Vectors of a Covariant Representation of a Dynamical SystemAlireza Bagheri Salec0Seyyed Mohammad Tabatabaie1Javad Saadatmandan2Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.Department of Mathematics, Faculty of Science, University of Qom, Qom, Iran.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 $G$.http://scma.maragheh.ac.ir/article_34859_c3964d27b2a7fb68a98419485805f13e.pdfAdmissible vectorCovariant representationDynamical system
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Alireza Bagheri Salec Seyyed Mohammad Tabatabaie Javad Saadatmandan
spellingShingle	Alireza Bagheri Salec Seyyed Mohammad Tabatabaie Javad Saadatmandan Admissible Vectors of a Covariant Representation of a Dynamical System Sahand Communications in Mathematical Analysis Admissible vector Covariant representation Dynamical system
author_facet	Alireza Bagheri Salec Seyyed Mohammad Tabatabaie Javad Saadatmandan
author_sort	Alireza Bagheri Salec
title	Admissible Vectors of a Covariant Representation of a Dynamical System
title_short	Admissible Vectors of a Covariant Representation of a Dynamical System
title_full	Admissible Vectors of a Covariant Representation of a Dynamical System
title_fullStr	Admissible Vectors of a Covariant Representation of a Dynamical System
title_full_unstemmed	Admissible Vectors of a Covariant Representation of a Dynamical System
title_sort	admissible vectors of a covariant representation of a dynamical system
publisher	University of Maragheh
series	Sahand Communications in Mathematical Analysis
issn	2322-5807 2423-3900
publishDate	2019-04-01
description	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 $G$.
topic	Admissible vector Covariant representation Dynamical system
url	http://scma.maragheh.ac.ir/article_34859_c3964d27b2a7fb68a98419485805f13e.pdf
work_keys_str_mv	AT alirezabagherisalec admissiblevectorsofacovariantrepresentationofadynamicalsystem AT seyyedmohammadtabatabaie admissiblevectorsofacovariantrepresentationofadynamicalsystem AT javadsaadatmandan admissiblevectorsofacovariantrepresentationofadynamicalsystem
_version_	1725110360354062336

Admissible Vectors of a Covariant Representation of a Dynamical System

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