In this paper, we introduce the notion of wave packet systems on local fields of positive
characteristic and derive some characterizations of these systems by means of two basic …

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 this paper, we introduce the concept of periodic Gabor frames on non-Archimedean fields
of positive characteristic. We first establish a necessary and sufficient condition for a periodic …

In this article, we introduce a notion of nonuniform wavelet frames on local fields of positive
characteristic. Furthermore, we gave a complete characterization of tight nonuniform wavelet …

Keeping in view the recent developments of wavelets on locally compact Abelian groups
(LCA) along with the applicability of the unifying structure of LCA groups, we present an …

Tight wavelet frames are distinct from the orthonormal wavelets because of redundancy. By
relinquishing orthonormality and permitting redundancy, the tight wavelet frames turn out to …

SUFFICIENT CONDITIONS FOR NONUNIFORM WAVELET FRAMES ON LOCAL FIELDS ∗
Firdous A. Shah, Owais Ahmad and Huzaifa Jan 1. Introduc Page 1 FACTA …

Frames have very important and interesting properties which make them very useful in the
characterization of function spaces, signal and image processing, sampling theory and …

Nonuniform Semi-orthogonal Wavelet Frames on Non-Archimedean Local Fields of Positive
Characteristic Page 1 Iranian Journal of Mathematical Sciences and Informatics Vol. 19, No. 2 …

In this paper an algorithm based on polyphase matrices for constructing a pair of orthogonal
wavelet frames is suggested, and a general form for all orthogonal tight wavelet frames on …