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Título:
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On Hilbert's 17th problem and Pfister's multiplicative formulae for the ring of real analytic functions
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Autores:
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Acquistapace, Francesca ;
Broglia, Fabrizio ;
Fernando Galván, José Francisco
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Tipo de documento:
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texto impreso
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Editorial:
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SCUOLA NORMALE SUPERIORE DI PISA, 2014
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/embargoedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas
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Tipo = Artículo
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Resumen:
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In this work, we present "infinite" multiplicative formulae for countable collections of sums of squares (of meromorphic functions on R-n). Our formulae generalize the classical Pfister's ones concerning the representation as a sum of 2(r) squares of the product of two elements of a field K which are sums of 2(r) squares. As a main application, we reduce the representation of a positive semidefinite analytic function on R-n as a sum of squares to the representation as sums of squares of its special factors. Recall that roughly speaking a special factor is an analytic function on R-n which has just one complex irreducible factor and whose zeroset has dimension between 1 and n - 2.
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En línea:
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https://eprints.ucm.es/id/eprint/26872/1/FernandoJoseF201.pdf
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