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We consider several modified versions of the Positivstellensatz for global analytic functions that involve infinite sums of squares and/or positive semidefinite analytic functions. We obtain a general local-global criterion which localizes the obstruction to have such a global result. This criterion allows us to get completely satisfactory results for analytic curves, normal analytic surfaces and real coherent analytic sets whose connected components are all compact.

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Acquistapace, Francesca -  Broglia, Fabrizio -  Fernando Galván, José Francisco - 

Id.: 55259246

Idioma: inglés  - 

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras claveGeometria algebraica - 

Tipo de recurso: info:eu-repo/semantics/article  -  PeerReviewed  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: info:eu-repo/semantics/embargoedAccess

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] http://eprints.ucm.es/15098/
[References] http://www.arkivformatematik.org/
[References] http://dx.doi.org/10.1007/s11512-008-0082-0
[References] MTM2008-00272
[References] MTM2005-02865,
[References] 910444
[References] PR34/07-15813

Fecha de contribución: 18-oct-2016



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