Intertwining relations between the Fourier transform and discrete Fourier transform, the related functional identities and beyond

DOI10.1088/0266-5611/17/4/305zbMath0983.42003OpenAlexW2046799609MaRDI QIDQ2747515

Vladimir B. Matveev

Publication date: 28 April 2002

Published in: Inverse Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0266-5611/17/4/305

zbMATH Keywords

Gauss sumsdiscrete Fourier transformspectral decompositionSchur matrixquantum Fourier transformPoisson summationspectral multiplicitiesHarper-Hofstadter modeltheta functional identities

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Discrete version of topics in analysis (39A12) Elliptic functions and integrals (33E05) Numerical methods in Fourier analysis (65Txx)

Related Items (11)

Discrete Fourier transform of prime order: eigenvectors with small support ⋮ On a Discrete Number Operator Associated with the 5D Discrete Fourier Transform ⋮ Discrete Fourier Transform and Theta Function Identities ⋮ Discrete Fourier transform and Riemann identities for \(\theta\) functions ⋮ On supersymmetric eigenvectors of the 5D discrete Fourier transform ⋮ An algebraic interpretation of the intertwining operators associated with the discrete Fourier transform ⋮ Eigenvalues of quantum walks of Grover and Fourier types ⋮ Discrete Fourier Transform and Extended Modified Hermite Polynomials ⋮ About two trigonometric matrices ⋮ Discrete Fourier transform and Jacobi θ function identities ⋮ On eigenfunctions of continuous and discrete (anti)symmetric multivariate Fourier transforms

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