Perturbed discrete Sturm-Liouville problems and associated sampling theorems

DOI10.1216/RMJ-2009-39-6-1781zbMath1191.39004MaRDI QIDQ1047536

J. Blot

Publication date: 5 January 2010

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Green's functioneigenvalue problemspectral propertiessampling theoryeigenfunction expansiondiscrete Sturm-Liouville problemsrank one perturbationssecond-order difference operators

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Discrete version of topics in analysis (39A12) Difference operators (39A70) Sampling theory in information and communication theory (94A20)

Related Items (3)

Inverse eigenvalue problems for rank one perturbations of the Sturm-Liouville operator ⋮ Inverse eigenvalue problems for singular rank one perturbations of a Sturm-Liouville operator ⋮ A perturbed Whittaker-Kotel'nikov-Shannon sampling theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Exact evaluations of finite trigonometric sums by sampling theorems
• Advanced topics in Shannon sampling and interpolation theory
• Discrete Sturm-Liouville problems, Jacobi matrices and Lagrange interpolation series.
• Discrete and continuous boundary problems
• Sampling expansions for discrete transforms and their relationship with interpolation series
• Finite lagrange and cauchy sampling expansions associated with regular difference equations^∗
• ON SAMPLING AND SECOND ORDER DIFFERENCE EQUATIONS
• Second-order Sturm-Liouville difference equations and orthogonal polynomials
• Some integer-valued trigonometric sums
• Sampling theorems and difference sturm—liouville problems
• The discrete Kramer sampling theorem and indeterminate moment problems

This page was built for publication: Perturbed discrete Sturm-Liouville problems and associated sampling theorems