The Hilbert \(L\)-matrix

DOI10.1016/j.jfa.2022.109401OpenAlexW4206323599MaRDI QIDQ2076318

František Štampach

Publication date: 16 February 2022

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.10694

zbMATH Keywords

orthogonal polynomialsJacobi operator\(L\)-matrixHilbert \(L\)-matrix

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

Related Items (3)

Asymptotic Spectral Properties of the Hilbert \(L\) -Matrix ⋮ On the Hilbert matrix norm on positively indexed weighted Bergman spaces ⋮ Three families of matrices

Uses Software

• DLMF

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The characteristic function for Jacobi matrices with applications
• The Nevanlinna parametrization for \(q\)-Lommel polynomials in the indeterminate case
• Asymptotic expansions for second-order linear difference equations
• On the zeros of the Hahn-Exton \(q\)-Bessel function and associated \(q\)- Lommel polynomials
• The characteristic function for complex doubly infinite Jacobi matrices
• The roots of the third J. Jckson \(q\)-Bessel function
• Orthogonal polynomials and Laurent polynomials related to the Hahn-Exton \(q\)-Bessel function
• The critical point and the \(p\)-norm of the Hilbert \(L\)-matrix
• The Hahn-Exton \(q\)-Bessel function as the characteristic function of a Jacobi matrix
• Linear polynomial approximation schemes in Banach holomorphic function spaces
• A family of explicitly diagonalizable weighted Hankel matrices generalizing the Hilbert matrix
• Quadratic Birth and Death Processes and Associated Continuous Dual Hahn Polynomials
• On the Hilbert Matrix, II
• Tricks or Treats with the Hilbert Matrix
• The norm of an infinite L-matrix
• Terraced Matrices
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• On the zeros of the second and third Jackson q-Bessel functions and their associated q-Hankel transforms
• On the Generalized Chebyshev Polynomials
• An Addition Theorem and Some Product Formulas for the Hahn-Exton q-Bessel Functions
• On the determinacy of complex Jacobi matrices
• L-matrices with lacunary coefficients
• Complex Jacobi matrices

This page was built for publication: The Hilbert \(L\)-matrix