Construction of Parseval framelets associated with GMRA on local fields of positive characteristic
In this article, we establish theory of Parseval framelets associated to generalized
multiresolution analysis (GMRA) in the setting of reducing subspace for the local field of …
multiresolution analysis (GMRA) in the setting of reducing subspace for the local field of …
Construction of nonuniform wavelet frames on non-Archimedean fields
A constructive algorithm based on the theory of spectral pairs for constructing nonuniform
wavelet basis in L 2 (ℝ) L^2(\mathbbR) was considered by Gabardo and Nashed (J Funct …
wavelet basis in L 2 (ℝ) L^2(\mathbbR) was considered by Gabardo and Nashed (J Funct …
[PDF][PDF] Frames associated with shift-invariant spaces on local fields
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 …
frames on local fields of positive characteristic. We establish a necessary condition and …
Nonuniform nonhomogeneous dual wavelet frames in Sobolev spaces in
O Ahmad, NA Sheikh, MA Ali - Afrika Matematika, 2020 - Springer
Nonuniform nonhomogeneous dual wavelet frames in Sobolev spaces in $$L^2({\mathbb {K}})$$
| Afrika Matematika Skip to main content SpringerLink Account Menu Find a journal Publish …
| Afrika Matematika Skip to main content SpringerLink Account Menu Find a journal Publish …
[PDF][PDF] Explicit construction of tight nonuniform framelet packets on local fields
O Ahmad, NA Sheikh - Oper. Matrices, 2021 - files.ele-math.com
Explicit construction of tight nonuniform framelet packets on local fields Page 1 Operators and
Matrices Volume 15, Number 1 (2021), 131–149 doi:10.7153/oam-2021-15-10 EXPLICIT …
Matrices Volume 15, Number 1 (2021), 131–149 doi:10.7153/oam-2021-15-10 EXPLICIT …
Fractional wave packet systems in L2 (R)
Wave packet systems have been used as a potential tool for solving dynamic systems and
have recently been studied using various Fourier-type transforms. In this article, we …
have recently been studied using various Fourier-type transforms. In this article, we …
Special affine wavelet transform and the corresponding Poisson summation formula
In the article,“Windowed special affine Fourier transform” in J. Pseudo-Differ. Oper.
Appl.(2020), we introduced the notion of windowed special affine Fourier transform (WSAFT) …
Appl.(2020), we introduced the notion of windowed special affine Fourier transform (WSAFT) …
Construction of nonuniform periodic wavelet frames on non-Archimedean fields
O Ahmad - Annales Universitatis Mariae Curie-Sklodowska, sectio …, 2020 - journals.umcs.pl
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 …
question regarding analysis and decompositions of these types of signals by a stable …
Quaternionic linear canonical wave packet transform
YA Bhat, NA Sheikh - Advances in Applied Clifford Algebras, 2022 - Springer
In this article, we introduce the notion of linear canonical wave packet transform in
quaternionic settings and we name it the quaternionic linear canonical wave packet …
quaternionic settings and we name it the quaternionic linear canonical wave packet …
Inequalities for wavelet frames with composite dilations in
O Ahmad, NA Sheikh - 2021 - projecteuclid.org
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 …
major developments of the time-scale and time-frequency analysis approach in the last few …