On Hilbert's 17th problem and Pfister's multiplicative formulae for the ring of real analytic functions

DOI10.2422/2036-2145.201201_004zbMath1303.11047OpenAlexW185229135MaRDI QIDQ5169958

Francesca Acquistapace, Fabrizio Broglia, José F. Fernando

Publication date: 16 July 2014

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2422/2036-2145.201201_004

zbMATH Keywords

meromorphic functionHilbert's 17th problemPfister's formula

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Real-analytic functions (26E05) Real-analytic sets, complex Nash functions (32C07) Nash functions and manifolds (14P20)

Related Items (4)

Positive semidefinite analytic functions on real analytic surfaces ⋮ Smooth Approximations in PL Geometry ⋮ On the Nullstellensätze for Stein spaces and 𝐶-analytic sets ⋮ A global Nullstellensatz for ideals of Denjoy-Carleman functions

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