SAMPLING AND BIRKHOFF REGULAR PROBLEMS

DOI10.1017/S144678870900024XzbMath1196.34022OpenAlexW2036881450MaRDI QIDQ5852034

Gerhard Freiling, Sergey Buterin, Mahmoud H. Annaby

Publication date: 26 January 2010

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s144678870900024x

zbMATH Keywords

sampling theoryLagrange and Hermite interpolationBirkhoff regular eigenvalue problems

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Linear boundary value problems for ordinary differential equations (34B05) Sampling theory in information and communication theory (94A20) Representations of entire functions of one complex variable by series and integrals (30D10)

Cites Work

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• On Lagrange-type interpolation series and analytic Kramer kernels
• On Lagrange interpolations and Kramer's sampling theorem associated with self-adjoint boundary value problems
• On the use of Green's function in sampling theory
• Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems
• Hermite interpolation and an inequality for entire functions of exponential type
• On sampling associated with singular Sturm-Liouville eigenvalue problems: The limit-circle case.
• Sampling expansions associated with Kamke problems
• Irregular sampling of bandlimited \(L^ p\)-functions
• Zur Regularität selbstadjungierter Randwertaufgaben
• Discontinuous boundary-value problems: expansion and sampling theorems
• On Lagrange Interpolation and Kramer-Type Sampling Theorems Associated with Sturm–Liouville Problems
• Pointwise and Norm Convergence of a Class of Biorthogonal Expansions
• Sampling Integrodifferential Transforms Arising from Second Order Differential Operators
• A sampling theorem for transforms with discontinuous kernels
• Reconstruction of Entire Functions From Irregularly Spaced Sample Points
• On sampling theory associated with the resolvents of singular Sturm-Liouville problems
• Odd and Even Cases of Birkhoff‐Regularity
• General methods for the derivation of sampling theorems
• A Comparison of the Sampling Theorems of Kramer and Whittaker
• A Generalized Sampling Theorem
• Regular Boundary Conditions for Ordinary Differential Operators

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