On general transforms hill functions

DOI10.1080/00036818208839406zbMath0471.65005OpenAlexW2030468282WikidataQ58293699 ScholiaQ58293699MaRDI QIDQ3925061

A. J. Jerri

Publication date: 1982

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036818208839406

zbMATH Keywords

samplingHankel transformsFourier type transformsdiscretized convolutionhill functions (splines)

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Spline approximation (41A15) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (4)

Truncation error for the generalized Bessel type sampling series ⋮ An extended poisson type sum formula for general transforms and aliasing error bound for the generalized sampling theorem ⋮ The convolution product is for exponential kernels transforms. Composition is suggested for other transforms ⋮ Sampling expansions and generalized translation invariance

Cites Work

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• The generalized sampling theorem for transforms of not necessarily square integrable functions
• Truncation error for the generalized Bessel type sampling series
• Application of the sampling theorem to time-varying systems
• On calculating with B-splines
• The Shannon sampling theorem—Its various extensions and applications: A tutorial review
• Towards a discrete hanke! transform and its applications
• Numerical Construction of the Hill Functions

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