Some random Fourier matrices and their singular values

DOI10.1016/j.jmaa.2021.125891zbMath1487.15041OpenAlexW4200211098MaRDI QIDQ2069921

Aline Bonami, Zaineb Aloui

Publication date: 21 January 2022

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125891

zbMATH Keywords

positive definite kernelsdegrees of freedomasymptotic analysis of spectrarandom Fourier matrices

Mathematics Subject Classification ID

Random matrices (probabilistic aspects) (60B20) Eigenvalues, singular values, and eigenvectors (15A18) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Random matrices (algebraic aspects) (15B52)

Cites Work

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• Spectral decay of time and frequency limiting operator
• Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation
• Duration and bandwidth limiting. Prolate functions, sampling, and applications.
• On Szegö's eigenvalue distribution theorem and non-Hermitian kernels
• Random matrix approximation of spectra of integral operators
• Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences
• Random discretization of the finite Fourier transform and related kernel random matrices
• Eigenvalue distributions of large Euclidean random matrices for waves in random media
• On the density of phase-space expansions
• Degrees of Freedom of a Communication Channel: Using DOF Singular Values
• Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
• Non-asymptotic behavior of the spectrum of the sinc-kernel operator and related applications