%0 Journal Article
%T On Some Characterization of Generalized Representation Wave-Packet Frames Based on Some Dilation Group
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Razghandi, Atefe
%A Arefijamaal, Ali Akbar
%D 2020
%\ 07/01/2020
%V 17
%N 3
%P 93-106
%! On Some Characterization of Generalized Representation Wave-Packet Frames Based on Some Dilation Group
%K Representation frames
%K Dilation groups
%K Dual frames
%K Continuous frames
%R 10.22130/scma.2019.106144.592
%X In this paper we consider (extended) metaplectic representation of the semidirect product $G_{mathbb{J}}=mathbb{R}^{2d}timesmathbb{J}$ where $mathbb{J}$ is a closed subgroup of $Sp(d,mathbb{R})$, the symplectic group. We will investigate continuous representation frame on $G_{mathbb{J}}$. 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.
%U http://scma.maragheh.ac.ir/article_40531_27f20b771699ae668d315a11ac3e008e.pdf