A perturbed Whittaker-Kotel'nikov-Shannon sampling theorem

DOI10.1016/j.jmaa.2011.03.070zbMath1218.94030OpenAlexW2082165018MaRDI QIDQ541234

Yong-Cai Geng, Sumit K. Garg

Publication date: 6 June 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.03.070

zbMATH Keywords

samplingGreen's functionrank-one perturbationseigenfunction expansions

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Control problems involving ordinary differential equations (34H05) Sampling theory in information and communication theory (94A20)

Cites Work

• New sampling formulae related to linear canonical transform
• New sampling formulae for non-bandlimited signals associated with linear canonical transform and nonlinear Fourier atoms
• Perturbed discrete Sturm-Liouville problems and associated sampling theorems
• On the use of Green's function in sampling theory
• Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems
• A sampling theorem associated with boundary-value problems with not necessarily simple eigenvalues
• Kramer analytic kernels and first-order boundary value problems
• Discontinuous boundary-value problems: expansion and sampling theorems
• On Sampling of Band-Limited Signals Associated With the Linear Canonical Transform
• On sampling theory associated with the resolvents of singular Sturm-Liouville problems
• General methods for the derivation of sampling theorems
• A Comparison of the Sampling Theorems of Kramer and Whittaker
• On the Nature of the Spectrum of Singular Second Order Linear Differential Equations
• Entire functions of exponential type
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