On the Pythagoras numbers of real analytic surfaces☆

DOI10.1016/j.ansens.2005.04.001zbMath1087.32003OpenAlexW3023122836MaRDI QIDQ3375319

José F. Fernando, Fabrizio Broglia, Francesca Acquistapace, Jesus Ma. Ruiz Sancho

Publication date: 8 March 2006

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2005_4_38_5_751_0

zbMATH Keywords

analytic functionmeromorphic functionPythagoras numberanalytic function germmeromorphic function germ

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Meromorphic functions of several complex variables (32A20) Real-analytic sets, complex Nash functions (32C07)

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 finiteness of Pythagoras numbers of real meromorphic functions ⋮ On the Nullstellensätze for Stein spaces and 𝐶-analytic sets

Cites Work

• About estimates on number of squares necessary to represent a positive- definite analytic function
• Pfister's theorem for varieties and reduced Witt rings
• Level and Pythagoras number of some geometric rings
• Introduction to the theory of analytic spaces
• Variétés analytiques réelles et variétés analytiques complexes
• The Pythagoras number of some affine algebras and local algebras.
• The Artin-Lang property for normal real analytic surfaces
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