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Recovery Of Multivariate Paley-Wiener Functions Using Scattered Translates Of Regular Interpolators

Posted on:2016-10-28Degree:MasterType:Thesis
Country:ChinaCandidate:Y XuFull Text:PDF
GTID:2180330470473199Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
In this paper, we explore the phenomenon that the multivariate Paley-Wiener functions may be recovered from their values on a complete interpolating sequence d And here we will gives a sufficient condition on a function f(x), which we call an interpolator,at the same time we the mapddRLPWI2: pand ddRLPWI2: pawhich aA,0 is a parameter. So that scattered translates of this function may be used to interpolate and recovery any given multivariate Paley-Wiener functions, and the recovery is uniformly ondR.
Keywords/Search Tags:Riesz Basis, Complete Interpolating Sequence, Average setting, Paley-Wiener functions, interpolator
PDF Full Text Request
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