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https://hdl.handle.net/10316/13695| Title: | Landau's necessary density conditions for the Hankel transform | Authors: | Abreu, Luís Daniel Bandeira, Afonso |
Keywords: | Sampling density; Bessel functions; Frames | Issue Date: | 2010 | Publisher: | Centro de Matemática da Universidade de Coimbra | Citation: | Pré-Publicações DMUC. 10-21 (2010) | Serial title, monograph or event: | Pré-Publicações DMUC | Issue: | 10-21 | Place of publication or event: | Coimbra | 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.] | URI: | https://hdl.handle.net/10316/13695 | Rights: | openAccess |
| Appears in Collections: | FCTUC Matemática - Vários |
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| File | Description | Size | Format | |
|---|---|---|---|---|
| Landau's necessary density conditions.pdf | 209.47 kB | Adobe PDF | View/Open |
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