Existence of representation frames based on wave packet groups

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

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

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. Fina...

متن کامل

Linear combinations of wave packet frames for L^2(R^d)

In this paper we study necessary and sufficient conditions for some types of linear combinations of wave packet frames to be a frame for L2(Rd). Further, we illustrate our results with some examples and applications.

متن کامل

The geometry of sets of parameters of wave packet frames

We study wave packet systems WP(ψ,M); that is, countable collections of dilations, translations, and modulations of a single function ψ ∈ L2(R). The parameters of these unitary actions form a discrete subset M ⊂ R+ × R × R. We introduce analogues of the notion of Beurling density, adapted to the geometry of discrete subsets of R+ × R × R, and notions of lower and upper dimensions associated wit...

متن کامل

linear combinations of wave packet frames for l^2(r^d)

in this paper we study necessary and sufficient conditions for some types of linear combinations of wave packet frames to be a frame for l^2(r^d). further, we illustrate our results with some examples and applications.

متن کامل

Necessary Conditions of the Wave Packet Frames with Several Generators

The main goal of this paper is to consider the necessary conditions of wave packet systems to be frames in higher dimensions. The necessary conditions of wave packet frames in higher dimensions with several generators are established, which include the corresponding results of wavelet analysis and Gabor theory as the special cases. The existing results are generalized to the case of several gen...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Hacettepe Journal of Mathematics and Statistics

سال: 2020

ISSN: 2651-477X

DOI: 10.15672/hujms.540946