Discrete Sturm-Liouville problems, Jacobi matrices and Lagrange interpolation series.

DOI10.1016/S0022-247X(02)00712-6zbMath1034.34029MaRDI QIDQ1873657

Antonio G. García, Miguel Ángel Hernández-Medina

Publication date: 27 May 2003

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

zbMATH Keywords

Jacobi matricesLagrange interpolation seriesDiscrete Sturm-Liouville problems

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Discrete version of topics in analysis (39A12) Moment problems and interpolation problems in the complex plane (30E05)

Related Items (5)

The Zero-Removing Property and Lagrange-Type Interpolation Series ⋮ Self-adjoint extensions for second-order symmetric linear difference equations ⋮ Sampling expansions associated with quaternion difference equations ⋮ Difference operators, Green's matrix, sampling theory and applications in signal processing ⋮ Perturbed discrete Sturm-Liouville problems and associated sampling theorems

Cites Work

• The classical moment problem as a self-adjoint finite difference operator
• Discrete and continuous boundary problems
• q-Hermite Polynomials, Biorthogonal Rational Functions, and q-Beta Integrals
• Second-order Sturm-Liouville difference equations and orthogonal polynomials
• Sampling theorems and difference sturm—liouville problems
• The discrete Kramer sampling theorem and indeterminate moment problems
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