Explicit Hermite-type Eigenvectors of the Discrete Fourier Transform

DOI10.1137/15M1006428zbMath1341.42008arXiv1501.07646OpenAlexW2129697067MaRDI QIDQ3195443

Alexey Kuznetsov

Publication date: 19 October 2015

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.07646

zbMATH Keywords

eigenvectorsdiscrete Fourier transformorthogonal basisHermite functionsq-binomial theorem

Mathematics Subject Classification ID

Numerical methods for discrete and fast Fourier transforms (65T50) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38)

Related Items (2)

Fractional Fourier, Hartley, cosine and sine number-theoretic transforms based on matrix functions ⋮ Minimal Hermite-type eigenbasis of the discrete Fourier transform

Cites Work

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• On the eigenvectors of Schur's matrix
• On discrete Gauss-Hermite functions and eigenvectors of the discrete Fourier transform
• The discrete fractional Fourier transform
• The Fractional Fourier Transform and Applications
• Eigenvectors and functions of the discrete Fourier transform
• Eigenvalues and eigenvectors of the finite Fourier transform
• Shifted Fourier Matrices and Their Tridiagonal Commutors

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