Classical and approximate exponential sampling formula: their interconnections in uniform and Mellin-Lebesgue norms
DOI10.1007/978-3-031-41130-4_1zbMATH Open1545.41009MaRDI QIDQ6608643
Gerhard Schmeisser, Rudolf L. Stens, Paul L. Butzer, Carlo Bardaro, Ilaria Mantellini
Publication date: 20 September 2024
Mellin bandlimited functionsapproximate exponential sampling formulaexponential sampling formulaMellin inversion classesmixed Mellin-Hilbert transform
Special integral transforms (Legendre, Hilbert, etc.) (44A15) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Approximation by operators (in particular, by integral operators) (41A35) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Remainders in approximation formulas (41A80) Sampling theory in information and communication theory (94A20)
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