On a global analytic Positivstellensatz

• Autores: Francesca Acquistapace , F. Broglia , José F. Fernando
• Localización: Arkiv för matematik, ISSN 0004-2080, Vol. 47, Nº 1, 2009, págs. 13-39
• Idioma: inglés
• DOI: 10.1007/s11512-008-0082-0
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.