Continuous vs. discrete fractional Fourier transforms

DOI10.1016/S0377-0427(99)00082-5zbMath0945.65154OpenAlexW2013244555MaRDI QIDQ1298777

Kurt Bernardo Wolf, Natig M. Atakishiyev, Luis Edgar Vicent

Publication date: 12 October 2000

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(99)00082-5

zbMATH Keywords

discrete Fourier transformwaveguideKravchuk functionsfractional Fourier-Kravchuk transformfractional integral Fourier transformharmonic oscillatory wavefunctionsMehta's basis functions

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Antennas, waveguides in optics and electromagnetic theory (78A50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Generalized hypergeometric series, ({}_pF_q) (33C20) Discrete operational calculus (44A55)

Related Items (15)

Recurrence relations for discrete hypergeometric functions ⋮ A basic class of symmetric orthogonal polynomials of a discrete variable ⋮ Discrete Fourier transform of prime order: eigenvectors with small support ⋮ Bivariate Symmetric Discrete Orthogonal Polynomials ⋮ Clifford algebras, Fourier transforms, and quantum mechanics ⋮ Fast Algorithms for Digital Computation of Linear Canonical Transforms ⋮ Unitary rotation of square-pixellated images ⋮ COHERENT STATES FOR THE FINITE su(2)-OSCILLATOR MODEL ⋮ Computation of the fractional Fourier transform ⋮ Classical symmetric orthogonal polynomials of a discrete variable ⋮ CONTRACTION OF THE FINITE ONE-DIMENSIONAL OSCILLATOR ⋮ CONTRACTION OF THE FINITE RADIAL OSCILLATOR ⋮ A symmetric generalization of Sturm–Liouville problems in discrete spaces ⋮ Kravchuk polynomials and irreducible representations of the rotation group \(\mathrm{SO}(3)\) ⋮ Almost Eigenvalues and Eigenvectors of Almost Mathieu Operators

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