Nonuniform Discrete Wavelets on Local Fields of Positive Characteristic

Bhat, M. Younus

doi:10.1007/s11785-018-0813-6

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2020

2024

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Cited by 6 publications

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“…Although their topology is similar, their MRA (multiresolution analysis) and wavelet theories are quite different. The construction of wavelets, wavelet frames, MRA and other related works on local fields of positive characteristics (LFPC)have been studied by Benedetto, Behera and Jahan, Ahmad and Shah, Jiang, Li and Ji, Shukla and Mittal, Bhat, etc in the series of works [2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,25,26,27]. However the research on local fields is still in its infancy.…”

Section: Introductionmentioning

confidence: 99%

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

Bhat

2022

AUCMCS

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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 study and provided the characterization of nonhomogeneous wavelet bi-frames. First of all we introduce the reducing subspaces of Sobolev spaces over local fields of prime characteristics and then provide the way to characterize the nonhomogeneous wavelet bi-frames over such fields. Our results are better than those established by Ahmad and Shiekh.

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