Real Algebraic and Analytic Geometry |

On the Real Nullstellensatz for Global Analytic Functions.

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Submission: 2005, September 1.

*Abstract:
An algebra of analytic functions on a complex analytic
space can be endowed with a topology
in such a way that closed ideals behave specially well. For
instance, a closed ideal $\alpha$ admits a primary decomposition,
$\alpha =\bigcap _i \alpha _i$.
In fact, under some restrictions on the ideals $\alpha _i$, the Hilbert
Nullstellensatz holds for the ideal $\alpha$. In this work we look for
similar conditions in the real case.*

Mathematics Subject Classification (2000): 14P99, 11E25, 32B10.

Keywords and Phrases: Nullstellensatz, sum of squares, positive semidefinite analytic function, compact set, analytic curve, normal analytic surface.

**Full text**, 24p.:
pdf 270k.

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