Wavelet multiplier associated with the Watson transform

In this paper, the L p -boundedness, compactness and Hilbert–Schmidt class of wavelet multiplier associated with the Watson transform are investigated and its various properties studied. Landau–Pollak Slepian operator associated with the Watson transform is discussed as an application of wavelet mul...

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Bibliographic Details
Published inRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A, Matemáticas Vol. 117; no. 1
Main Authors Shukla, Pragya, Upadhyay, S. K.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.01.2023
Springer Nature B.V
Subjects
Applications of Mathematics
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Multipliers
Original Paper
Sobolev space
Theoretical
Compact operator
46F12
Landau–Pollak Slepian operator
47G10
Pseudo-differential operators
47G30
Hilbert–Schmidt operator
Trace class
Watson transform
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ISSN1578-7303
1579-1505
DOI10.1007/s13398-022-01342-1

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Summary:In this paper, the L p -boundedness, compactness and Hilbert–Schmidt class of wavelet multiplier associated with the Watson transform are investigated and its various properties studied. Landau–Pollak Slepian operator associated with the Watson transform is discussed as an application of wavelet multiplier. The relation between Watson wavelet multipliers and Sobolev space is given and trace class is introduced.
Bibliography:ObjectType-Article-1
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ISSN:1578-7303
1579-1505
DOI:10.1007/s13398-022-01342-1