Time-frequency analysis associated with the deformed Stockwell transform

In this paper, we consider the deformed Stockwell transform. Knowing the fact that the study of the time-frequency analysis are both theoretically interesting and practically useful, we investigated several problems for this subject on the setting of the deformed Stockwell transform. Firstly, we stu...

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Bibliographic Details
Published inJournal of pseudo-differential operators and applications Vol. 13; no. 2
Main Author Mejjaoli, Hatem
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.06.2022
Springer Nature B.V
Subjects
Algebra
Analysis
Applications of Mathematics
Deformation
Functional Analysis
Localization
Mathematics
Mathematics and Statistics
Operator Theory
Operators
Partial Differential Equations
Time-frequency analysis
Generalized translation operator
Time-frequency analysis
Localization operators
Scalogram
Secondary 42B10
47G30
Deformed Hankel transform
Deformed Stockwell transform
Primary 47G10
Online AccessGet full text
ISSN1662-9981
1662-999X
DOI10.1007/s11868-022-00449-8

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Summary:In this paper, we consider the deformed Stockwell transform. Knowing the fact that the study of the time-frequency analysis are both theoretically interesting and practically useful, we investigated several problems for this subject on the setting of the deformed Stockwell transform. Firstly, we study the boundedness and compactness of localization operators associated with the deformed Stockwell transforms on R . Next, we present typical examples of localization operators. Finally, the scalogram for the deformed Stockwell transform are introduced and studied at the end.
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ISSN:1662-9981
1662-999X
DOI:10.1007/s11868-022-00449-8