[PDF][PDF] Non homogeneous dual wavelet frames and oblique extension principles in Hs (K)

O Ahmad - Filomat, 2023 - doiserbia.nb.rs
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 …

On generalized inequalities for nonuniform wavelet frames in

O Ahmad, NA Sheikh, AA Hazari - Afrika Matematika, 2022 - Springer
Wavelet frames are different from the orthonormal wavelets because of redundancy. By
sacrificing orthonormality and allowing redundancy, wavelet frames become much easier to …

Novel quaternionic fractional wavelet transform

TA Sheikh, NA Sheikh - International Journal of Applied and …, 2022 - Springer
In this paper, we introduce the notion of a novel quaternionic fractional wavelet transform
(FRWT). Firstly, we establish the inversion formula and Parseval theorem for the new …

On the nonhomogeneous wavelet bi-frames for reducing subspaces of Hs (K)

MY Bhat - Annals of the University of Craiova-Mathematics and …, 2022 - inf.ucv.ro
Abstract Ahmad and Shiekh in Filomat 34: 6 (2020), 2091-2099 have constructed dual
wavelet frames in Sobolev spaces on local fields of positive characteristic. We continued the …

Tight wavelet frames on zero-dimensional groups. Construction and approximation

S Lukomskii - Numerical Functional Analysis and Optimization, 2023 - Taylor & Francis
We present a method for constructing tight wavelet frames on locally compact zero-
dimensional groups. When constructing frames, we do not use the principle of unitary …

Nonhomogeneous Wavelet Bi-frames for Reducing Subspaces of and their Characterization

M Younus Bhat - Indian Journal of Pure and Applied Mathematics, 2024 - Springer
Abstract Bhat in Annal. Univ. Craiova, Math. Comp. Scien. Series 49: 2 (2022), 401-410 has
studied nonhomogeneous wavelet bi-frames in Sobolev spaces on local fields of positive …

On p-adic tight wavelet frames

SF Lukomskii, AM Vodolazov - Journal of Mathematical Analysis and …, 2023 - Elsevier
We propose a simple method to constructing step mask and corresponding step wavelet
functions that generate tight wavelet frames on the field Q p of p-adic numbers. To construct …

Nonuniform Semi-orthogonal Wavelet Frames on Non-Archimedean Local Fields of Positive Characteristic

O Ahmad, N Ahmad - Iranian Journal of Mathematical Sciences and …, 2024 - ijmsi.ir
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 …

Generalized Multiresolution Structures in Reducing Subspaces of Local Fields

O Ahmad, NA Sheikh - Acta Mathematica Sinica, English Series, 2022 - Springer
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 …

Construction of fractional framelets in L2 (R)

O Ahmad, AH Wani, T Jalal, S Ali - Filomat, 2024 - doiserbia.nb.rs
Framelets generalize orthogonal wavelets by adding the desired properties of redundancy
in their systems and flexibility in their construction. These extra features greatly improve their …