Canonical potential and Lp-Sobolev space involving linear canonical Fourier transform
DOI10.1080/10652469.2022.2118737zbMath1523.43004OpenAlexW4295233835WikidataQ114099285 ScholiaQ114099285MaRDI QIDQ6102404
Akhilesh Prasad, Unnamed Author
Publication date: 8 May 2023
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2022.2118737
Convolution as an integral transform (44A35) Pseudodifferential operators as generalizations of partial differential operators (35S05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Other transforms and operators of Fourier type (43A32) Topological linear spaces of test functions, distributions and ultradistributions (46F05)
Cites Work
- A convolution and correlation theorem for the linear canonical transform and its application
- Recent developments in the theory of the fractional Fourier and linear canonical transforms
- Pseudo-differential operators involving Hankel transforms
- Sobolev type spaces associated with Bessel operators
- The Kontorovich-Lebedev transform and Sobolev type space
- Approximation of linear canonical wavelet transform on the generalized Sobolev spaces
- Sobolev type spaces associated with jacobi differential operators
- The linear canonical wavelet transform on some function spaces
- A pair of linear canonical Hankel transformations and associated pseudo-differential operators
- Harmonic analysis associated to the canonical Fourier Bessel transform
- Zero-order Mehler-Fock transform and Sobolev-type space
- An Introduction to Pseudo-Differential Operators
- \(L_\mu^p\)-boundedness of the pseudo-differential operator associated with the Bessel operator
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