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Interpolation of functions from generalized Paley–Wiener spaces

Interpolation of functions from generalized Paley--Wiener spaces
Authors: W. R. Madych; Yu. Lyubarskii;

Interpolation of functions from generalized Paley–Wiener spaces

Abstract

The generalized Paley--Wiener space \(PW^{p,k}\) consists of entire functions \(f\) of exponential type \(\pi\) whose \(k\)th derivative belongs to \(L^p({\mathbb R})\). The authors solve the problem of reconstruction of functions in \(PW^{p,k}\) from their values at the points of a completely interpolating sequence.

Keywords

Mathematics(all), Numerical Analysis, Applied Mathematics, Special classes of entire functions of one complex variable and growth estimates, generalized Paley-Wiener space, interpolation, Paley—Wiener spaces, Banach spaces of continuous, differentiable or analytic functions, Complete interpolating sequences, ∂¯ problem, Divided differences, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
8
Average
Average
Average
hybrid