On Alpert multiwavelets

Geronimo, Jeffrey S.; Marcellán Español, Francisco José

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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