In this paper, we present a unified approach to the study of shift-invariant systems to be
frames on local fields of positive characteristic. We establish a necessary condition and …

In real life applications not all signals are obtained by uniform shifts; so there is a natural
question regarding analysis and decompositions of these types of signals by a stable …

In this paper, we study the finite Gabor system for oversampling schemes. A characterization
of dual finite Gabor tight frame using discrete time Zak transform is given. Also, a method to …

Time-frequency analysis of signals had its origin almost 60 years ago, there have been
major developments of the time-scale and time-frequency analysis approach in the last few …

In this paper, we introduce the notion of nonhomogeneous dual wavelet frames in Sobolev
spaces over local fields. We provide the complete characterization of nonhomogeneous …

The aim of this paper is to formulate a new class of uncertainty principles for the classical
Gabor transform in L 2 (ℝ d). To begin with, we formulate a couple of concentration-based …

In this article, we introduce the notion of general multiresolution structure (GMS) in the
reducing subspace over local fields. We show that the GMS is admitted by an arbitrary …

In this paper, we introduce the concept of periodic Gabor frames on positive half line. Firstly,
we establish a necessary and sufficient condition for a periodic Gabor system to be a Gabor …

In this paper, we attempt to obtain sufficient conditions for the existence of tight wavelet
frame sets in locally compact abelian groups. The condition is generated by modulating a …

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