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math.FA2026★ 10 cited
Nonuniform Periodic Wavelet Frames on Non-Archimedean Fields
Owais Ahmad
In real life application all signals are not obtained from uniform shifts; so there is a natural question regarding analysis and decompositions of these types of signals by a stabl…
math.FA2020
Fractional Multiresolution Analysis and Associated Scaling Functions in
Owais Ahmad, Neyaz A. Sheikh, Firdous A. Shah
In this paper, we show how to construct an orthonormal basis from Riesz basis by assuming that the fractional translates of a single function in the core subspace of the fractional…
math.FA2020
Fractional Biorthogonal wavelets in
Owais Ahmad, Neyaz A. Sheikh, Firdous A. Shah
The fractional Fourier transform (FrFT), which is a generalization of the Fourier transform, has become the focus of many research papers in recent years because of its application…