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 …
Some relations between continuous generalized frames
Generalized frames are natural generalizations of frames. The computation of distances
between frames is a crucial concept in frame theory. In this paper we give some basic …
between frames is a crucial concept in frame theory. In this paper we give some basic …
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 …
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 …
[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 …
spaces over local fields. We provide the complete characterization of nonhomogeneous …
Characterization of tight wavelet frames with composite dilations in L2 (Rn)
O Ahmad - Publications de l'Institut Mathematique, 2023 - doiserbia.nb.rs
Tight wavelet frames are different from the orthonormal wavelets because of redundancy. By
sacrificing orthonormality and allowing redundancy, the tight wavelet frames become much …
sacrificing orthonormality and allowing redundancy, the tight wavelet frames become much …
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 …
sacrificing orthonormality and allowing redundancy, wavelet frames become much easier to …
Nonuniform Semi-orthogonal Wavelet Frames on Non-Archimedean Local Fields of Positive Characteristic
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 …
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 …
reducing subspace over local fields. We show that the GMS is admitted by an arbitrary …