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Generalized sampling in shift invariant spaces with frames
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2012 (English)In: Acta Mathematica Sinica. English series, ISSN 1439-8516, E-ISSN 1439-7617, Vol. 28, no 9, p. 1823-1844Article in journal (Refereed) Published
Abstract [en]

Generalized sampling in a shift invariant subspace V of L 2(ℝ) is considered. A function f in V is processed with different filters L m and then one tries to reconstruct f from the samples L mf(j′k). We develop a theory of how to do this in the case when V possesses a shift invariant frame. Special attention is paid to the question: How to obtain dual frames with compact support?

Place, publisher, year, edition, pages
2012. Vol. 28, no 9, p. 1823-1844
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-14721DOI: 10.1007/s10114-012-1235-4ISI: 000307427100008Scopus ID: 2-s2.0-84865442607Local ID: e236a7fd-302d-4090-b5da-9991f7e30269OAI: oai:DiVA.org:ltu-14721DiVA, id: diva2:987694
Note
Validerad; 2012; 20120522 (andbra)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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