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 |