The gyrator transform of the generalized functions

DOI10.1007/S11868-024-00607-0MaRDI QIDQ6536872

Toshinao Kagawa, Toshio Suzuki

Publication date: 14 May 2024

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

zbMATH Keywords

fractional Fourier transformGelfand-Shilov spacegyrator transform

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

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• A characterization of the generalized functions via the special Hermite expansions
• Weyl transforms
• On Namias's Fractional Fourier Transforms
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• A class of fractional integral transforms: a generalization of the fractional Fourier transform
• Hermitian polynomials and Fourier analysis.
• Characterizations of the gyrator transform via the fractional Fourier transform

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