Characterizations of the gyrator transform via the fractional Fourier transform

DOI10.1080/10652469.2022.2138868zbMath1518.42010OpenAlexW4308200593MaRDI QIDQ6102412

Toshio Suzuki, Toshinao Kagawa

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/10.1080/10652469.2022.2138868

zbMATH Keywords

tempered distributionfractional Fourier transformgyrator transform

Mathematics Subject Classification ID

Integral transforms in distribution spaces (46F12) Fractional derivatives and integrals (26A33) Image processing (compression, reconstruction, etc.) in information and communication theory (94A08) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Cites Work

• Unnamed Item
• Weyl transforms
• Fractional Fourier transform of tempered distributions and generalized pseudo-differential operator
• On Namias's Fractional Fourier Transforms
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• Fractional fourier transform of generalized functions
• A class of fractional integral transforms: a generalization of the fractional Fourier transform

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