Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11333
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Abreu, Luís Daniel | - |
dc.date.accessioned | 2009-09-08T12:22:47Z | - |
dc.date.available | 2009-09-08T12:22:47Z | - |
dc.date.issued | 2006 | - |
dc.identifier.citation | Pré-Publicações DMUC. 06-41 (2006) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11333 | - |
dc.description.abstract | The Fourier transforms of Laguerre functions play the same canonical role in Wavelet analysis as do the Hermite functions in Gabor analysis. We will use them as mother wavelets in a similar way as the Hermite functions were recently used as windows in Gabor frames by Gr¨ochenig and Lyubarskii. Using results due to K. Seip concerning lattice sampling sequences on weighted Bergman spaces, we find a sufficient condition for the discretization of the resulting wavelet transform to be a frame. As in Gr¨ochenig-Lyubarskii theorem, the density increases with n, when considering frames generated by translations and dilations of the Fourier transform of the nth Laguerre function. | en_US |
dc.description.sponsorship | Fundação Ciência e Tecnologia; Centro de Matemática da Universidade de Coimbra | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.subject | Wavelets | en_US |
dc.subject | Frames | en_US |
dc.subject | Laguerre functions | en_US |
dc.subject | Bergman spaces | en_US |
dc.title | Wavelet frames, Bergman spaces and Fourier transforms of Laguerre functions | en_US |
dc.type | preprint | en_US |
item.fulltext | Com Texto completo | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.cerifentitytype | Publications | - |
item.openairetype | preprint | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
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Wavelet frames, Bergman spaces and Fourier transforms.pdf | 155.43 kB | Adobe PDF | View/Open |
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