LAUSR

Local rearrangement invariant spaces and distribution of Rademacher series

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0 Published in 2018 at "Positivity"

DOI: 10.1007/s11117-017-0500-2

Abstract: We prove that a local version of Khintchine inequality holds for arbitrary rearrangement invariant (r.i.) spaces on an non-empty open set $$E\subset [0,1]$$E⊂[0,1]. For this, we give a definition of local r.i. space which is… read more here.

Keywords: rademacher; rearrangement invariant; invariant spaces; distribution ... See more keywords

Dynamical sampling in multiply generated shift-invariant spaces

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0 Published in 2017 at "Applicable Analysis"

DOI: 10.1080/00036811.2016.1157586

Abstract: In this paper, we study the problem of dynamical sampling in multiply generated shift-invariant spaces. We give a necessary and sufficient condition for stable reconstruction of signals in multiply generated shift-invariant spaces. Moreover, we show… read more here.

Keywords: shift; shift invariant; generated shift; multiply generated ... See more keywords

Reconstruction from convolution random sampling in local shift invariant spaces

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0 Published in 2019 at "Inverse Problems"

DOI: 10.1088/1361-6420/ab40f7

Abstract: In this paper, we consider the problem of reconstructing functions in local multiply generated shift invariant spaces from convolution random samples. The sampling set is randomly chosen with one kind of probability distribution over a… read more here.

Keywords: convolution random; shift invariant; invariant spaces;