On Lagrange interpolations and Kramer's sampling theorem associated with self-adjoint boundary value problems

DOI10.1016/0022-247X(91)90282-5zbMath0785.41003OpenAlexW2101389122MaRDI QIDQ1176172

S. Singh

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-247x(91)90282-5

zbMATH Keywords

Kramer's sampling theoremLagrange-type interpolation

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Interpolation in approximation theory (41A05) Coding theorems (Shannon theory) (94A24)

Related Items (15)

Sampling theorems associated with fourth- and higher-order self-adjoint eigenvalue problems ⋮ One and multidimensional sampling theorems associated with Dirichlet problems ⋮ Oversampling and aliasing in de Branges spaces arising from Bessel operators ⋮ Sampling in Paley-Wiener spaces associated with fractional integro-differential operators ⋮ Sampling theorem associated with a Dirac operator and the Hartley transform ⋮ Kramer-type sampling theorems associated with higher-order differential equations ⋮ Sampling of vector-valued transforms associated with Green's matrix of Dirac systems ⋮ Mean Convergence of Interpolation at Zeros of Airy Functions ⋮ Lagrange interpolation and boundary-value problems ⋮ A sampling theorem for transforms with discontinuous kernels ⋮ Sampling theorem for bandlimited Hardy space functions generated by Regge problem ⋮ Kramer's sampling theorem with discontinuous kernels ⋮ On the use of Green's function in sampling theory ⋮ SAMPLING AND BIRKHOFF REGULAR PROBLEMS ⋮ SAMPLING AND ODD ORDER PROBLEMS

Cites Work

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• The sampling theorem and linear prediction in signal analysis
• On Kramer’s Sampling Theorem Associated with General Sturm-Liouville Problems and Lagrange Interpolation
• On Lagrange Interpolation and Kramer-Type Sampling Theorems Associated with Sturm–Liouville Problems
• Five short stories about the cardinal series
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• A sampling theorem for irregularly spaced sample points (Corresp.)
• General methods for the derivation of sampling theorems
• A Comparison of the Sampling Theorems of Kramer and Whittaker
• A Generalized Sampling Theorem

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