Invariance of a Shift-Invariant Space in Several Variables

dc.creatorAnastasio, Magalí
dc.creatorCabrelli, Carlos
dc.creatorPaternostro, Victoria
dc.date.accessioned2017-04-06T20:43:10Z
dc.date.available2017-04-06T20:43:10Z
dc.date.created2017-04-06T20:43:10Z
dc.date.issued2011-12
dc.identifierAnastasio, Magalí; Cabrelli, Carlos; Paternostro, Victoria; Invariance of a Shift-Invariant Space in Several Variables; Springer; Complex Analysis and Operator Theory; 5; 4; 12-2011; 1031-1050
dc.identifier1661-8254
dc.identifierhttp://hdl.handle.net/11336/14911
dc.description.abstractIn this article we study invariance properties of shift-invariant spaces in higher dimensions. We state and prove several necessary and sufficient conditions for a shift-invariant space to be invariant under a given closed subgroup of Rd, and prove the existence of shift-invariant spaces that are exactly invariant for each given subgroup. As an application we relate the extra invariance to the size of support of the Fourier transform of the generators of the shift-invariant space. This work extends recent results obtained for the case of one variable to several variables.
dc.languageeng
dc.publisherSpringer
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://link.springer.com/article/10.1007/s11785-010-0045-x
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s11785-010-0045-x
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/0905.1933
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectFIBERS
dc.subjectRANGE FUNCTIONS
dc.subjectSHIFT-INVARIANT SPACE
dc.subjectTRANSLATION INVARIANT SPACE
dc.titleInvariance of a Shift-Invariant Space in Several Variables
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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