Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/7769
DC Field | Value | Language |
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dc.contributor.author | Abreu, Luís Daniel | - |
dc.date.accessioned | 2009-02-17T11:19:11Z | - |
dc.date.available | 2009-02-17T11:19:11Z | - |
dc.date.issued | 2008 | en_US |
dc.identifier.citation | Constructive Approximation. 28:2 (2008) 219-235 | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/7769 | - |
dc.description.abstract | Abstract We study mapping properties of operators with kernels defined via a combination of continuous and discrete orthogonal polynomials, which provide an abstract formulation of quantum (q-) Fourier-type systems.We prove Ismail’s conjecture regarding the existence of a reproducing kernel structure behind these kernels, by establishing a link with Saitoh’s theory of linear transformations in Hilbert space. The results are illustrated with Fourier kernels with ultraspherical, their continuous q-extensions and generalizations. As a byproduct of this approach, a new class of sampling theorems is obtained, as well as Neumann-type expansions in Bessel and q-Bessel functions. | en_US |
dc.language.iso | eng | eng |
dc.rights | openAccess | eng |
dc.title | The Reproducing Kernel Structure Arising from a Combination of Continuous and Discrete Orthogonal Polynomials into Fourier Systems | en_US |
dc.type | article | en_US |
dc.identifier.doi | 10.1007/s00365-006-0657-0 | en_US |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | article | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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