Three families of matrices

DOI10.1016/j.exmath.2024.125546arXiv2401.14802OpenAlexW4392088680MaRDI QIDQ6197584

Alexander Pushnitski

Publication date: 20 March 2024

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2401.14802

zbMATH Keywords

Hardy spacesDirichlet seriesstructured matrix\(L\)-matrixarithmetical matrix

Mathematics Subject Classification ID

Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Linear operators in reproducing-kernel Hilbert spaces (including de Branges, de Branges-Rovnyak, and other structured spaces) (47B32) Matrices, determinants in number theory (11C20)

Cites Work

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• A Hilbert space of Dirichlet series and systems of dilated functions in \(L^ 2(0,1)\)
• The Hilbert \(L\)-matrix
• Matrices with multiplicative entries are tensor products
• Singular values of multiplicative Toeplitz matrices
• Tricks or Treats with the Hilbert Matrix
• The norm of an infinite L-matrix
• Matrices associated with arithmetical functions
• Note on some greatest common divisor matrices
• ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF GREATEST COMMON DIVISOR MATRICES
• Szegő-type limit theorems for “multiplicative Toeplitz” operators and non-Følner approximations
• Asymptotic Spectral Properties of the Hilbert \(L\) -Matrix
• ASYMPTOTIC BEHAVIOR OF EIGENVALUES OF RECIPROCAL POWER LCM MATRICES
• Spectral asymptotics for a family of LCM matrices

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