Modular convergence theorems in Orlicz spaces for net of nonlinear integral operators acting on fucntions defined on locally compact topological groups are obtained. The general form of integral operators considered, gives a unitary approach in order to obtain modular convergence for several classical family of integral operators. In particular, among them, an important rule is played by the generalized sampling series, important in signal processing.
A general approximation result for nonlinear integral operators and applications to signal processing
VINTI, Gianluca
2001
Abstract
Modular convergence theorems in Orlicz spaces for net of nonlinear integral operators acting on fucntions defined on locally compact topological groups are obtained. The general form of integral operators considered, gives a unitary approach in order to obtain modular convergence for several classical family of integral operators. In particular, among them, an important rule is played by the generalized sampling series, important in signal processing.File in questo prodotto:
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