On a global analytic Positivstellensatz

DOI10.1007/s11512-008-0082-0zbMath1216.14053OpenAlexW2132597741MaRDI QIDQ841210

José F. Fernando, Francesca Acquistapace, Fabrizio Broglia

Publication date: 14 September 2009

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11512-008-0082-0

zbMATH Keywords

analytic functionmeromorphic functionpositive semidefinite functionreal analytic setPositivstellensatzsums of quares

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Semialgebraic sets and related spaces (14P10) Real algebra (13J30)

Related Items (2)

Positive semidefinite analytic functions on real analytic surfaces ⋮ The Nullstellensatz for real coherent analytic surfaces

Cites Work

• On Hilbert's 17th problem and real Nullstellensatz for global analytic functions
• The strict Positivstellensatz for global analytic functions and the moment problem for semianalytic sets
• On the Pythagoras numbers of real analytic curves
• On Hilbert's 17th problem for global analytic functions in dimension 3
• Variétés analytiques réelles et variétés analytiques complexes
• On the Pythagoras numbers of real analytic surfaces☆
• On the finiteness of Pythagoras numbers of real meromorphic functions
• The Artin-Lang property for normal real analytic surfaces
• The finiteness property and Łojasiewicz inequality for global semianalytic sets
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