A family of explicitly diagonalizable weighted Hankel matrices generalizing the Hilbert matrix

DOI10.1080/03081087.2015.1064348zbMath1359.47027arXiv1506.01064OpenAlexW1487017184MaRDI QIDQ2805672

T. Kalvoda, Pavel Šťovíček

Publication date: 12 May 2016

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.01064

zbMATH Keywords

diagonalizationpoint spectrumabsolutely continuous spectrumHilbert matrixweighted Hankel-type matrices

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Spectrum, resolvent (47A10) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (6)

Weighted integral Hankel operators with continuous spectrum ⋮ Asymptotic Spectral Properties of the Hilbert \(L\) -Matrix ⋮ On Hankel matrices commuting with Jacobi matrices from the Askey scheme ⋮ Spectral representation of some weighted Hankel matrices and orthogonal polynomials from the Askey scheme ⋮ New explicitly diagonalizable Hankel matrices related to the Stieltjes-Carlitz polynomials ⋮ The Hilbert \(L\)-matrix

Cites Work

• Upper bounds for the spectral radius of the \(n \times n\) Hilbert matrix
• On the spectrum of the Bergman-Hilbert matrix
• Toeplitz matrices commuting with tridiagonal matrices
• A remark on Hilber's matrix
• The eigenfunctions of the Hilbert matrix
• On positive eigenvectors of positive infinite matrices
• On Hilbert’s inequality in 𝑛 dimensions
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• On the Spectrum of the Bergman-Hilbert Matrix II
• Some Hypergeometric Orthogonal Polynomials

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