The Linear Canonical Transformation: Definition and Properties

DOI10.1007/978-1-4939-3028-9_2zbMath1334.78004OpenAlexW2299603013MaRDI QIDQ2799583

Tatiana Alieva, Martin J. Bastiaans

Publication date: 12 April 2016

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

Full work available at URL: https://doi.org/10.1007/978-1-4939-3028-9_2

Mathematics Subject Classification ID

Factorization of matrices (15A23) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Fractional derivatives and integrals (26A33) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Research exposition (monographs, survey articles) pertaining to optics and electromagnetic theory (78-02) Geometric optics (78A05)

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Uncertainty principle for free metaplectic transformation, The linear canonical wavelet transform on some function spaces, The Linear Canonical Transformations in Classical Optics, Uncertainty principle of complex-valued functions in specific free metaplectic transformation domains, The uncertainty principle: Variations on a theme, Uncertainty principle for real functions in free metaplectic transformation domains

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