Title of article :
On Some Characterization of Generalized Representation Wave-Packet Frames Based on Some Dilation Group
Author/Authors :
Razghandi ، Atefe Department of Mathematics and Computer Sciences - Hakim Sabzevari University , Arefijamaal ، Ali Akbar Department of Mathematics and Computer Sciences - Hakim Sabzevari University
Abstract :
in this paper we consider (extended) metaplectic rep resentation of the semidirect product GJ = R ^2d × J where J is a closed subgroup of Sp(d, R), the symplectic group. We will investigate continuous representation frame on GJ. We also discuss the existence of duals for such frames and give several characterization for them. Finally, we rewrite the dual conditions, by using the Wigner distribution and obtain more reconstruction formulas.
Keywords :
Representation frames , Dilation groups , Dual frames , Continuous frames
Journal title :
Sahand Communications in Mathematical Analysis
Journal title :
Sahand Communications in Mathematical Analysis
