A general approach to the convergence theorems of generalized sampling series

DOI10.1080/00036819708840531zbMath0878.47016OpenAlexW2093970871MaRDI QIDQ4351440

Gianluca Vinti, Carlo Bardaro

Publication date: 1997

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

Full work available at URL: https://doi.org/10.1080/00036819708840531

zbMATH Keywords

Orlicz spacestopological groupsmodular convergencegeneralized sampling seriesnets of operators

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) (Semi-) Fredholm operators; index theories (47A53) Linear operator approximation theory (47A58) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Equations and inequalities involving linear operators, with vector unknowns (47A50)

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Cites Work

• Improper integrals, simple integrals, and numerical quadrature
• Modular convergence in generalized orlicz spaces for moment type operators
• Sampling Theory for not Necessarily Band-Limited Functions: A Historical Overview
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