Non homogeneous dual wavelet frames and oblique extension principles in H s (K)
Filomat, Tome 37 (2023) no. 14, p. 4549
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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 dual wavelet frames on local fields. Furthermore, we obtain a mixed oblique extension principle for such frames.
Classification :
42C15, 42C20, 42C30
Keywords: Dual wavelet frame, Fourier transform, Mixed Oblique Extension Principle (MOEP), Sobolev Space
Keywords: Dual wavelet frame, Fourier transform, Mixed Oblique Extension Principle (MOEP), Sobolev Space
Owais Ahmad. Non homogeneous dual wavelet frames and oblique extension principles in H s (K). Filomat, Tome 37 (2023) no. 14, p. 4549 . doi: 10.2298/FIL2314549A
@article{10_2298_FIL2314549A,
author = {Owais Ahmad},
title = {Non homogeneous dual wavelet frames and oblique extension principles in {H} s {(K)}},
journal = {Filomat},
pages = {4549 },
year = {2023},
volume = {37},
number = {14},
doi = {10.2298/FIL2314549A},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2314549A/}
}
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