Paula Escorcielo

activity

20162021

most citedOn the Davenport-Mahler bound

1 citations · 1 across the 2 of their papers we have counts for

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math.AG2021

A few more extensions of Putinar's Positivstellensatz to non-compact sets

Paula Escorcielo, Daniel Perrucci

We extend previous results about Putinar's Positivstellensatz for cylinders of type $S \times R$ to sets of type $S \times R^{r}$ in some special cases taking int…

math.AG2019

On sum of squares certificates of non-negativity on a strip

Paula Escorcielo, Daniel Perrucci

A well-known result of Murray Marshall states that every $f \in R [X, Y]$ non-negative on the strip $[0, 1] \times R$ can be written as $f = σ_{0} + σ_{1} X (1 - X)$ with $…

math.AG2018

A version of Putinar's Positivstellensatz for cylinders

Paula Escorcielo, Daniel Perrucci

We prove that, under some additional assumption, Putinar's Positivstellensatz holds on cylinders of type $S \times R$ with $S = \{x \in {\mathbb R}^n | g_1(x) \ge 0, ...,…