Linear and radial canonical transforms of fractional order

DOI10.1016/S0377-0427(02)00637-4zbMath1020.44005OpenAlexW1995014904MaRDI QIDQ1874184

Yanyan Li

Publication date: 22 May 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(02)00637-4

zbMATH Keywords

Laplace transformsspecial functionsparabolic differential equationsBarut-Girardello transformscanonical transforms of fractional order

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Laplace transform (44A10)

Related Items (5)

Hankel-type integral transforms and their fractionalization: a note ⋮ Fractional Laplace transform ⋮ A pair of linear canonical Hankel transformations of random order ⋮ Fast Algorithms for Digital Computation of Linear Canonical Transforms ⋮ Some properties of fractional Boas transforms of wavelets

Cites Work

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• Integral transforms and their applications
• New 'coherent' states associated with non-compact groups
• On a Hilbert space of analytic functions and an associated integral transform part I
• Fractionalization of Hankel Transforms
• Canonical transforms. II. Complex radial transforms
• Canonical transforms, separation of variables, and similarity solutions for a class of parabolic differential equations
• On self-reciprocal functions under a class of integral transforms
• An alternative point of view to the theory of fractional Fourier transform

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