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Localization Operators and Scalogram Associated with the Deformed Hankel Wavelet Transform
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Localization Operators and Scalogram Associated with the Deformed Hankel Wavelet Transform
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Journal Article
Localization Operators and Scalogram Associated with the Deformed Hankel Wavelet Transform
2023
Overview
The deformed Hankel wavelet transform ((
k
,
n
)-HWT) is a novel addition to the class of wavelet transforms, which has gained a respectable status in the realm of time-frequency signal analysis within a short span of time. Knowing the fact that the study of localization operators is both theoretically interesting and practically useful, we investigated several subjects of time-frequency analysis for the deformed Hankel wavelet transform. First, we study the
L
p
boundedness and compactness of localization operators associated with the deformed Hankel wavelet transforms on
R
. Next, involving the reproducing kernel and spectral theories we investigate the time-frequency operators. Finally, the scalogram for the deformed Hankel wavelet transform is introduced and studied at the end.
Publisher
Springer International Publishing,Springer Nature B.V
