On the finiteness of Pythagoras numbers of real meromorphic functions
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Publication:3580613
DOI10.24033/bsmf.2589zbMath1197.14060OpenAlexW38855846MaRDI QIDQ3580613
Francesca Acquistapace, Fabrizio Broglia, José F. Fernando, Jesus Ma. Ruiz Sancho
Publication date: 13 August 2010
Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)
Full work available at URL: http://smf4.emath.fr/en/Publications/Bulletin/138/html/smf_bull_138_231-247.php
Sums of squares and representations by other particular quadratic forms (11E25) Germs of analytic sets, local parametrization (32B10) Real algebraic and real-analytic geometry (14P99)
Related Items (5)
On a global analytic Positivstellensatz ⋮ Positive semidefinite analytic functions on real analytic surfaces ⋮ Some results on global real analytic geometry ⋮ On the Nullstellensätze for Stein spaces and 𝐶-analytic sets ⋮ The Nullstellensatz for real coherent analytic surfaces
Cites Work
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- About estimates on number of squares necessary to represent a positive- definite analytic function
- On Hilbert's 17th problem and real Nullstellensatz for global analytic functions
- On equivalence of ideals of real global analytic functions and the 17th Hilbert problem
- 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 positive extension property and Hilbert's 17th problem for real analytic sets
- Extensions of Orderings on Fields of Quotients of Rings of Real Analytic Functions
- The Pythagoras number of some affine algebras and local algebras.
- Le théorème des zéros en géométries algébrique et analytique réelles
- The Artin-Lang property for normal real analytic surfaces
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