Shapiro's uncertainty principles and scalogram associated with the Riemann-Liouville wavelet transform
Filomat, Tome 37 (2023) no. 1, p. 43
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The Riemann-Liouville operator has been extensively investigated and has witnessed a remarkable development in numerous fields of harmonic analysis over a couple of decades. The aim of this article is to explore two more aspects of the time-frequency analysis associated with the Riemann-Liouville wavelet transform, including the Shapiro uncertainty principle and the scalogram.
Classification :
81S30;44A05, 42B10;42B15, 94A12
Keywords: Riemann-Liouville operator, Localization operator, Generalized wavelet transform, Shapiro’s theorem, Scalogram
Keywords: Riemann-Liouville operator, Localization operator, Generalized wavelet transform, Shapiro’s theorem, Scalogram
Hatem Mejjaoli; Firdous A Shah. Shapiro's uncertainty principles and scalogram associated with the Riemann-Liouville wavelet transform. Filomat, Tome 37 (2023) no. 1, p. 43 . doi: 10.2298/FIL2301043M
@article{10_2298_FIL2301043M,
author = {Hatem Mejjaoli and Firdous A Shah},
title = {Shapiro's uncertainty principles and scalogram associated with the {Riemann-Liouville} wavelet transform},
journal = {Filomat},
pages = {43 },
year = {2023},
volume = {37},
number = {1},
doi = {10.2298/FIL2301043M},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2301043M/}
}
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