Minimal Hermite-type eigenbasis of the discrete Fourier transform

DOI10.1007/s00041-018-9600-zzbMath1415.42002arXiv1706.08740OpenAlexW2962765885MaRDI QIDQ2420242

Mateusz Kwaśnicki, Alexey Kuznetsov

Publication date: 5 June 2019

Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.08740

zbMATH Keywords

eigenvectorsdiscrete Fourier transformuncertainty principleorthogonal basisHermite functions

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)

Cites Work

• The eigenvectors of the discrete Fourier transform: A version of the Hermite functions
• An uncertainty principle for cyclic groups of prime order
• Uncertainty Principles and Signal Recovery
• Explicit Hermite-type Eigenvectors of the Discrete Fourier Transform
• Eigenvectors and functions of the discrete Fourier transform
• Eigenvalues and eigenvectors of the finite Fourier transform
• Optimal Discrete Gaussian Function: The Closed-Form Functions Satisfying Tao’s and Donoho’s Uncertainty Principle With Nyquist Bandwidth
• A Theorem Concerning Fourier Transforms