On the existence of exponential polynomials with prefixed gaps
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Campo DC | Valor | Idioma |
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dc.contributor | Curvas Alpha-Densas. Análisis y Geometría Local | es |
dc.contributor.author | Mora, Gaspar | - |
dc.contributor.author | Sepulcre, Juan Matias | - |
dc.contributor.author | Vidal, Tomás | - |
dc.contributor.other | Universidad de Alicante. Departamento de Análisis Matemático | es |
dc.date.accessioned | 2014-06-26T09:55:13Z | - |
dc.date.available | 2014-06-26T09:55:13Z | - |
dc.date.issued | 2013-07-17 | - |
dc.identifier.citation | Bulletin of the London Mathematical Society. 2013, 45(6): 1148-1162. doi:10.1112/blms/bdt043 | es |
dc.identifier.issn | 0024-6093 (Print) | - |
dc.identifier.issn | 1469-2120 (Online) | - |
dc.identifier.uri | http://hdl.handle.net/10045/38408 | - |
dc.description.abstract | This paper shows that the conjecture of Lapidus and Van Frankenhuysen on the set of dimensions of fractality associated with a nonlattice fractal string is true in the important special case of a generic nonlattice self-similar string, but in general is false. The proof and the counterexample of this have been given by virtue of a result on exponential polynomials P(z), with real frequencies linearly independent over the rationals, that establishes a bound for the number of gaps of RP, the closure of the set of the real projections of its zeros, and the reason for which these gaps are produced. | es |
dc.description.sponsorship | The second author was partially supported by Vicerrectorado de Investigación, Desarrollo e Innovación de la Universidad de Alicante under project GRE11-23. | es |
dc.language | eng | es |
dc.publisher | London Mathematical Society | es |
dc.rights | © 2013 London Mathematical Society | es |
dc.subject | Functions of a complex variable | es |
dc.subject | Entire functions | es |
dc.subject | Fractals | es |
dc.subject.other | Análisis Matemático | es |
dc.title | On the existence of exponential polynomials with prefixed gaps | es |
dc.type | info:eu-repo/semantics/article | es |
dc.peerreviewed | si | es |
dc.identifier.doi | 10.1112/blms/bdt043 | - |
dc.relation.publisherversion | http://dx.doi.org/10.1112/blms/bdt043 | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
Aparece en las colecciones: | INV - CADAGL - Artículos de Revistas INV - GAM - Artículos de Revistas |
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2013_Mora_etal_BullLondonMathSoc.pdf | Versión revisada (acceso abierto) | 330,22 kB | Adobe PDF | Abrir Vista previa |
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