Fractional continuous wavelet transform on some function spaces

DOI10.1007/s40010-015-0222-4zbMath1342.42011OpenAlexW2255148240MaRDI QIDQ531193

Akhilesh Prasad, Praveen Kumar

Publication date: 3 August 2016

Published in: Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40010-015-0222-4

zbMATH Keywords

Fourier transformSobolev spacefractional Fourier transformfractional continuous wavelet transform

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11)

Related Items (5)

Certain properties of continuous fractional wavelet transform on Hardy space and Morrey space ⋮ The composition of linear canonical wavelet transforms on generalized function spaces ⋮ The linear canonical wavelet transform on some function spaces ⋮ Logarithmic uncertainty principle, convolution theorem related to continuous fractional wavelet transform and its properties on a generalized Sobolev space ⋮ Approximation of linear canonical wavelet transform on the generalized Sobolev spaces

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• The generalized continuous wavelet transform associated with the fractional Fourier transform
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• On Hausdorff-Young inequalities for quantum fourier transformations

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