On Alpert multiwavelets

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dc.contributor.author Geronimo, Jeffrey S.
dc.contributor.author Marcellán Español, Francisco José
dc.date.accessioned 2016-07-13T08:58:46Z
dc.date.available 2016-07-13T08:58:46Z
dc.date.issued 2015-06
dc.identifier.bibliographicCitation Proceedings of the American Mathematical Society, June 2015, 143, pp. 2479-2494
dc.identifier.issn 0002-9939 (print)
dc.identifier.issn 1088-6826 (online)
dc.identifier.uri http://hdl.handle.net/10016/23338
dc.description.abstract The multiresolution analysis of Alpert is considered. Explicit formulas for the entries in the matrix coefficients of the refinement equation are given in terms of hypergeometric functions. These entries are shown to solve generalized eigenvalue equations as well as partial difference equations. The matrix coefficients in the wavelet equation are also considered and conditions are given to obtain a unique solution.
dc.description.sponsorship The first author was supported in part by a Simons Foundation Grant. The second author was supported by grant MTM2012-36732-C03-01 from the Dirección General de Investigación Científica y Técnica, Ministerio de Economía y Competitividad of Spain.
dc.format.extent 17
dc.format.mimetype application/pdf
dc.language.iso eng
dc.publisher American Mathematical Society
dc.rights © American Mathematical Society 2015
dc.subject.other Multiwavelets
dc.subject.other Hypergeometric functions
dc.subject.other Generalized eigenvalue problem
dc.title On Alpert multiwavelets
dc.type article
dc.relation.publisherversion http://dx.doi.org/10.1090/S0002-9939-2015-12493-8
dc.subject.eciencia Matemáticas
dc.identifier.doi 10.1090/S0002-9939-2015-12493-8
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. MTM2012-36732-C03-01
dc.type.version acceptedVersion
dc.identifier.publicationfirstpage 2479
dc.identifier.publicationissue 6
dc.identifier.publicationlastpage 2494
dc.identifier.publicationtitle Proceedings of the american mathematical society
dc.identifier.publicationvolume 143
dc.identifier.uxxi AR/0000017090
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