Two families of compactly supported Parseval framelets in L2(Rd)
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Campo DC | Valor | Idioma |
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dc.contributor.author | San Antolín Gil, Ángel | - |
dc.contributor.author | Zalik, Richard A. | - |
dc.contributor.other | Universidad de Alicante. Departamento de Matemáticas | es_ES |
dc.date.accessioned | 2022-05-23T06:28:51Z | - |
dc.date.available | 2022-05-23T06:28:51Z | - |
dc.date.issued | 2022-05-13 | - |
dc.identifier.citation | Applied and Computational Harmonic Analysis. 2022, 60: 512-527. https://doi.org/10.1016/j.acha.2022.04.005 | es_ES |
dc.identifier.issn | 1063-5203 (Print) | - |
dc.identifier.issn | 1096-603X (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/123714 | - |
dc.description.abstract | For any dilation matrix with integral entries A ∈ Rd×d, d ≥ 1, we construct two families of Parseval wavelet frames in L2(Rd). Both families have compact support and any desired number of vanishing moments. The first family has | detA| generators. The second family has any desired degree of regularity. For the members of this family, the number of generators depends on the dilation matrix A and the dimension d, but never exceeds | detA| + d. Our construction involves trigonometric polynomials developed by Heller to obtain refinable functions, the Oblique Extension Principle, and a slight generalization of a theorem of Lai and Stöckler. | es_ES |
dc.language | eng | es_ES |
dc.publisher | Elsevier | es_ES |
dc.rights | © 2022 Elsevier Inc. | es_ES |
dc.subject | Dilation matrix | es_ES |
dc.subject | Fourier transform | es_ES |
dc.subject | Refinable function | es_ES |
dc.subject | Tight framelet | es_ES |
dc.subject | Unitary Extension Principle | es_ES |
dc.subject.other | Análisis Matemático | es_ES |
dc.title | Two families of compactly supported Parseval framelets in L2(Rd) | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.peerreviewed | si | es_ES |
dc.identifier.doi | 10.1016/j.acha.2022.04.005 | - |
dc.relation.publisherversion | https://doi.org/10.1016/j.acha.2022.04.005 | es_ES |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es_ES |
Aparece en las colecciones: | INV - GAM - Artículos de Revistas Personal Investigador sin Adscripción a Grupo |
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San-Antolin_Zalik_2022_ApplComputHarmonicAnal_accepted.pdf | Accepted Manuscript (acceso abierto) | 711,58 kB | Adobe PDF | Abrir Vista previa |
San-Antolin_Zalik_2022_ApplComputHarmonicAnal_final.pdf | Versión final (acceso restringido) | 401,29 kB | Adobe PDF | Abrir Solicitar una copia |
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