An "algebraic" reconstruction of piecewise-smooth functions from integral measurements

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dc.creatorBatenkov, Dima
dc.creatorSarig, Niv
dc.creatorYomdin, Yosef
dc.date2009-01-29
dc.date.accessioned2026-07-07T12:35:36Z
dc.date.available2026-07-07T12:35:36Z
dc.descriptionThis paper presents some results on a well-known problem in Algebraic Signal Sampling and in other areas of applied mathematics: reconstruction of piecewise-smooth functions from their integral measurements (like moments, Fourier coefficients, Radon transform, etc.). Our results concern reconstruction (from the moments) of signals in two specific classes: linear combinations of shifts of a given function, and "piecewise $D$-finite functions" which satisfy on each continuity interval a linear differential equation with polynomial coefficients.
dc.descriptionSubmitted to Sampta09 conference
dc.identifierhttps://arxiv.org/abs/0901.4659
dc.identifierhttp://arxiv.org/abs/0901.4659
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217815
dc.subjectClassical Analysis and ODEs
dc.titleAn "algebraic" reconstruction of piecewise-smooth functions from integral measurements
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