In this article, we introduce the notion of biorthgonoal nonuniform multiresolution analysis on
the spectrum Λ= 0, r/N+ 2 ℤ, where N≥ 1 is an integer and r is an odd integer with 1≤ r≤ 2 …

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 …

The linear canonical transform (LCT) provides a unified treatment of the generalized Fourier
transforms in the sense that it is an embodiment of several well-known integral transforms …

To provide a significantly richer representation of non‐stationary signals appearing in
various disciplines of science and engineering, we introduce a novel fractional nonuniform …

The linear canonical transform (LCT) has attained respectable status within a short span and
is being broadly employed across several disciplines of science and engineering including …

A multiresolution analysis associated with linear canonical transform was defined by Shah
and Waseem for which the translation set is a discrete set which is not a group. In this paper …

The concept of vector-valued nonuniform multiresolution analysis on local field of positive
characteristic was considered by Shah and Bhat. We construct the associated wavelet …

The concepts of multiresolution analysis (MRA) and wavelet have been generalized to a
local field K of positive characteristic by using a prime element p of such a field. A MRA is a …

A constructive algorithm based on the theory of spectral pairs for constructing nonuniform
wavelet basis in L^ 2 (\mathbb R) L 2 (R) was considered by Gabardo and Nashed (J Funct …

Periodic wavelet frames have gained considerable popularity in recent years, primarily due
to their substantiated applications in diverse and widespread fields of science and …