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Erzeugendenanzahl von reellen Modulen.

Klaus Langmann (1990)

Mathematische Zeitschrift

Eventual positivity for analytic functions.

David Handelmann (1996)

Mathematische Annalen

Extending analyticK-subanalytic functions

Artur Piękosz (2004)

Open Mathematics

Letg:U→ℝ (U open in ℝn) be an analytic and K-subanalytic (i. e. definable in ℝanK, whereK, the field of exponents, is any subfield ofℝ) function. Then the set of points, denoted Σ, whereg does not admit an analytic extension is K-subanalytic andg can be extended analytically to a neighbourhood of Ū.

Extending Tamm's theorem

Lou van den Dries, Chris Miller (1994)

Annales de l'institut Fourier

We extend a result of M. Tamm as follows:Let $f : A \to ℝ, A \subseteq ℝ^{m + n}$ , be definable in the ordered field of real numbers augmented by all real analytic functions on compact boxes and all power functions $x \mapsto x^{r} : (0, \infty) \to ℝ, r \in ℝ$ . Then there exists $N \in ℕ$ such that for all $(a, b) \in A$ , if $y \mapsto f (a, y)$ is $C^{N}$ in a neighborhood of $b$ , then $y \mapsto f (a, y)$ is real analytic in a neighborhood of $b$ .

Displaying 1 – 7 of 7

Erzeugendenanzahl von reellen Modulen.

Eventual positivity for analytic functions.

Extending analyticK-subanalytic functions

Extending Tamm's theorem

Extension sets for real analytic functions and applications to Radon transforms.

Extremal tests for scalar functions of several real variables at degenerate critical points.

Extremal Tests for Scalar Functions of Several Real variables at Degenerate Critical Points. (Short Communication).

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