Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/13695
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Abreu, Luís Daniel | - |
dc.contributor.author | Bandeira, Afonso | - |
dc.date.accessioned | 2010-08-24T11:26:16Z | - |
dc.date.available | 2010-08-24T11:26:16Z | - |
dc.date.issued | 2010 | - |
dc.identifier.citation | Pré-Publicações DMUC. 10-21 (2010) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/13695 | - |
dc.description.abstract | We will prove an analogue of Landau’s necessary conditions [Necessary density conditions for sampling and interpolation of certain entire functions, Acta Math. 117 (1967).] for spaces of functions whose Hankel transform is supported in a measurable subset S of the positive semi-axis. As a special case, necessary density conditions for the existence of Fourier-Bessel frames are obtained. In the course of our proof we obtain estimates for some eigenvalues which arise in Tracy and Widom work [Level spacing distributions and the Bessel kernel. Comm. Math. Phys. 161 (1994), no. 2, 289–309.] | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | en_US |
dc.subject | Sampling density | en_US |
dc.subject | Bessel functions | en_US |
dc.subject | Frames | en_US |
dc.title | Landau's necessary density conditions for the Hankel transform | en_US |
dc.type | preprint | en_US |
degois.publication.issue | 10-21 | en_US |
degois.publication.location | Coimbra | en_US |
degois.publication.title | Pré-Publicações DMUC | en_US |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.openairetype | preprint | - |
item.cerifentitytype | Publications | - |
item.grantfulltext | open | - |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
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Landau's necessary density conditions.pdf | 209.47 kB | Adobe PDF | View/Open |
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