On eigenfunctions of continuous and discrete (anti)symmetric multivariate Fourier transforms

DOI10.1063/1.2952958zbMath1152.81321OpenAlexW2013114513MaRDI QIDQ5504992

A. U. Klimyk, Natig M. Atakishiyev

Publication date: 23 January 2009

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.2952958

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Special integral transforms (Legendre, Hilbert, etc.) (44A15) General harmonic expansions, frames (42C15)

Cites Work

• Unnamed Item
• The eigenvectors of the discrete Fourier transform: A version of the Hermite functions
• Multivariate Gaussian cubature formulae
• Intertwining relations between the Fourier transform and discrete Fourier transform, the related functional identities and beyond
• ON q-EXTENSIONS OF MEHTA'S EIGENVECTORS OF THE FINITE FOURIER TRANSFORM
• (Anti)symmetric multivariate trigonometric functions and corresponding Fourier transforms
• (Anti)symmetric multivariate exponential functions and corresponding Fourier transforms
• Eigenvalues and eigenvectors of the finite Fourier transform
• Self-Fourier functions
• Onq-extended eigenvectors of the integral and finite Fourier transforms
• Determinants of orthogonal polynomials

This page was built for publication: On eigenfunctions of continuous and discrete (anti)symmetric multivariate Fourier transforms