Some random Fourier matrices and their singular values
type: Item
instance of: scholarly article
title: Some random Fourier matrices and their singular values
zbMATH Open document ID: 1487.15041
author: Zaineb Aloui
author: Aline Bonami
published in: Journal of Mathematical Analysis and Applications
publication date: 2022-01-21T00:00:00Z
review text: The authors study spectral properties of random Fourier matrices. A typical example is given by the uniform law on \((-1/2, +1/2)\) for both sequences generating the one-dimensional random vectors involved in the entries. High frequencies are the main objects of interest for the authors. This is a companion paper of [the second author,\textit{A. Bonami} and \textit{A. Karoui}, J. Fourier Anal. Appl. 26, No. 2, Paper No. 29, 29 p. (2020; Zbl 1436.42010)].
reviewed by: Elijah Liflyand
Mathematics Subject Classification ID: 15B52
Mathematics Subject Classification ID: 42A38
Mathematics Subject Classification ID: 15A18
Mathematics Subject Classification ID: 60B20
zbMATH DE Number: 7461310
zbMATH Keywords: random Fourier matrices
zbMATH Keywords: positive definite kernels
zbMATH Keywords: degrees of freedom
zbMATH Keywords: asymptotic analysis of spectra
MaRDI profile type: Publication
full work available at URL: j.jmaa.2021.125891
OpenAlex ID: W4200211098
cites work: Non-asymptotic behavior of the spectrum of the sinc-kernel operator and related applications
cites work: Spectral decay of time and frequency limiting operator
cites work: Random discretization of the finite Fourier transform and related kernel random matrices
cites work: Eigenvalue distributions of large Euclidean random matrices for waves in random media
cites work: Duration and bandwidth limiting. Prolate functions, sampling, and applications.
cites work: Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences
cites work: Random matrix approximation of spectra of integral operators
cites work: On the density of phase-space expansions
cites work: On Szegö's eigenvalue distribution theorem and non-Hermitian kernels
cites work: Prolate spheroidal wave functions of order zero. Mathematical tools for bandlimited approximation
cites work: Q3394879
cites work: On learning with integral operators
cites work: Q4340161
cites work: Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - I
cites work: Degrees of Freedom of a Communication Channel: Using DOF Singular Values
DOI: 10.1016/J.JMAA.2021.125891
description: scientific article; zbMATH DE number 7461310