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Irregular sampling in shift invariant spaces of higher dimensions
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2008 (English)In: International Journal of Wavelets, Multiresolution and Information Processing, ISSN 0219-6913, E-ISSN 1793-690X, Vol. 6, no 1, p. 121-136Article in journal (Refereed) Published
Abstract [en]

We consider irregular sampling in shift invariant spaces V of higher dimensions. The problem that we address is: find epsilon so that given perturbations (lambda(k)) satisfying sup vertical bar lambda(k)vertical bar < epsilon, we can reconstruct an arbitrary function f of V as a Riesz basis expansions from its irregular sample values f(k+lambda(k)). A framework for dealing with this problem is outlined and in which one can explicitly calculate sufficient limits epsilon for the reconstruction. We show how it works in two concrete situations.

Place, publisher, year, edition, pages
2008. Vol. 6, no 1, p. 121-136
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-10751DOI: 10.1142/S0219691308002264ISI: 000254425100008Scopus ID: 2-s2.0-44349181391Local ID: 99b2b960-0add-11dd-ae49-000ea68e967bOAI: oai:DiVA.org:ltu-10751DiVA, id: diva2:983698
Note
Validerad; 2008; 20080415 (pafi)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Ericsson, Stefan

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