On Some Characterization of Generalized Representation Wave-Packet Frames Based on Some Dilation Group

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

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.

Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:17 Issue: 3, Summer 2020
Pages:
93 to 106
https://www.magiran.com/p2155277