Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/13647
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Abreu, Luís Daniel | - |
dc.contributor.author | Ciaurri, Óscar | - |
dc.contributor.author | Varona, Juan Luis | - |
dc.date.accessioned | 2010-08-20T11:31:07Z | - |
dc.date.available | 2010-08-20T11:31:07Z | - |
dc.date.issued | 2009 | - |
dc.identifier.citation | Pré-Publicações DMUC. 09-32 (2009) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/13647 | - |
dc.description.abstract | We study an extension of the classical Paley-Wiener space structure, which is based on bilinear expansions of integral kernels into biorthogonal sequences of functions. The structure includes both sampling expansions and Fourier- Neumann type series as special cases. Concerning applications, several new results are obtained. From the Dunkl analogue of Gegenbauer’s expansion of the plane wave, we derive sampling and Fourier-Neumann type expansions and an explicit closed formula for the spectrum of a right inverse of the Dunkl operator. This is done by stating the problem in such a way it is possible to use the technique due to Ismail and Zhang. Moreover, we provide a q-analogue of the Fourier-Neumann expansions in q-Bessel functions of the third type. In particular, we obtain a q-linear analogue of Gegenbauer’s expansion of the plane wave by using q-Gegenbauer polynomials defined in terms of little q-Jacobi polynomials. | 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 | Bilinear expansion | en_US |
dc.subject | Biorthogonal expansion | en_US |
dc.subject | Plane wave expansion | en_US |
dc.subject | Sampling theorem | en_US |
dc.subject | Fourier-Neumann expansion | en_US |
dc.subject | Dunkl transform | en_US |
dc.subject | Special functions | en_US |
dc.subject | Q-special functions | en_US |
dc.title | Bilinear biorthogonal expansions and the spectrum of an integral operator | en_US |
dc.type | preprint | en_US |
degois.publication.issue | 09-32 | en_US |
degois.publication.location | Coimbra | en_US |
degois.publication.title | Pré-Publicações DMUC | en_US |
item.fulltext | Com Texto completo | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.grantfulltext | open | - |
item.languageiso639-1 | en | - |
item.openairetype | preprint | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | FCTUC Matemática - Vários |
Files in This Item:
File | Description | Size | Format | |
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Bilinear biorthogonal expansions and the spectrum of an integral operator.pdf | 281.74 kB | Adobe PDF | View/Open |
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