TY - JOUR
ID - 40531
TI - On Some Characterization of Generalized Representation Wave-Packet Frames Based on Some Dilation Group
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Razghandi, Atefe
AU - Arefijamaal, Ali Akbar
AD - Department of Mathematics and Computer Sciences, Hakim Sabzevari University, P.O.Box 397, Sabzevar, Iran.
Y1 - 2020
PY - 2020
VL - 17
IS - 3
SP - 93
EP - 106
KW - Representation frames
KW - Dilation groups
KW - Dual frames
KW - Continuous frames
DO - 10.22130/scma.2019.106144.592
N2 - In this paper we consider (extended) metaplectic representation of the semidirect product $G_{\mathbb{J}}=\mathbb{R}^{2d}\times\mathbb{J}$ 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.
UR - https://scma.maragheh.ac.ir/article_40531.html
L1 - https://scma.maragheh.ac.ir/article_40531_24c9e8eda66fd4f95602c706a8047474.pdf
ER -