Eigenfunctions of the Linear Canonical Transform

DOI10.1007/978-1-4939-3028-9_3zbMath1334.78026OpenAlexW2529843549MaRDI QIDQ2798286

Soo-Chang Pei, Jian-Jiun Ding

Publication date: 12 April 2016

Published in: Linear Canonical Transforms (Search for Journal in Brave)

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/142382/1/08.pdf

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractional derivatives and integrals (26A33) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenvalues, singular values, and eigenvectors (15A18) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Lasers, masers, optical bistability, nonlinear optics (78A60) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (2)

Inversion of the windowed linear canonical transform with Riemann sums ⋮ Metamorphism -- an integral transform reducing the order of a differential equation

Cites Work

• Integral transforms in science and engineering
• The Fractional Order Fourier Transform and its Application to Quantum Mechanics
• Harmonic Analysis in Phase Space. (AM-122)
• Self-Fourier functions
• Generalized self-Fourier functions
• Self-fractional Fourier functions and selection of modes
• On the self-fractional Fourier functions
• Generalization of the fractional Fourier transformation to an arbitrary linear lossless transformation an operator approach
• Eigenfunctions of linear canonical transform
• Linear Canonical Transformations and Their Unitary Representations

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