Search Results - "Acquistapace, Francesca"

A global Nullstellensatz for ideals of Denjoy-Carleman functions by Acquistapace, Francesca, Broglia, Fabrizio, Nicoara, Andreea C.

“…We prove a Nullstellensatz result for global ideals of Denjoy- Carleman quasi-analytic functions in both finitely generated and infinitely generated cases…”
Get full text

On the Nullstellensätze for Stein spaces and -analytic sets by Acquistapace, Francesca, Broglia, Fabrizio, Fernando, José

“…In this work we prove the real Nullstellensatz for the ring O ( X ) \mathcal {O}(X) of analytic functions on a C C -analytic set X ⊂ R n X\subset \mathbb {R}^n…”
Get full text

Failure of the Weierstrass Preparation Theorem in quasi-analytic Denjoy–Carleman rings by Acquistapace, Francesca, Broglia, Fabrizio, Bronshtein, Michail, Nicoara, Andreea, Zobin, Nahum

“…It is shown that Denjoy–Carleman quasi-analytic rings of germs of functions in two or more variables fail to satisfy the Weierstrass Preparation Theorem. The…”
Get full text

Normalization of Complex Analytic Spaces from a Global Viewpoint by Acquistapace, Francesca, Broglia, Fabrizio, Fernando, José F.

“…In this work, we study some algebraic and topological properties of the ring of global analytic functions on the normalization of a reduced complex analytic…”
Get full text

On globally defined semianalytic sets by Acquistapace, Francesca, Broglia, Fabrizio, Fernando, José F.

“…In this work we present the concept of C-semianalytic subset of a real analytic manifold and more generally of a real analytic space. C -semianalytic sets can…”
Get full text

On the Nullstellensätze for Stein spaces and C-analytic sets by Acquistapace, Francesca, Broglia, Fabrizio, Fernando, José F.

“…In this work we prove the real Nullstellensatz for the ring 𝒪(X) of analytic functions on a C-analytic set X ⊂ ℝ n in terms of the saturation of Łojasiewicz's…”
Get full text

" by Francesca Acquistapace, Fabrizio Broglia, José F. Fernando

“…of ]]>Ł of \mathfrak{a} \sqrt [\mathsf {r}]{\mathfrak{a}}real-analytic radical \sqrt [\mathsf {ra}]{\mathfrak{a}} \mathfrak{a}-analytic setting. We revisit the…”
Get full text

On a global analytic Positivstellensatz by Acquistapace, Francesca, Broglia, Fabrizio, Fernando, José F.

“…We consider several modified versions of the Positivstellensatz for global analytic functions that involve infinite sums of squares and/or positive…”
Get full text

On the Pythagoras numbers of real analytic curves by Acquistapace, Francesca, Broglia, Fabrizio, Fernando, José F., Ruiz, Jesús M.

Get full text

Normalization of complex analytic spaces from a global viewpoint by Acquistapace, Francesca, Broglia, Fabrizio, Fernando, José F

“…In this work we study some algebraic and topological properties of the ring ${\mathcal O}(X^\nu)$ of global analytic functions of the normalization…”
Get full text

On globally defined semianalytic sets by Acquistapace, Francesca, Broglia, Fabrizio, Fernando, José F

“…In this work we present the concept of $C$-semianalytic subset of a real analytic manifold and more generally of a real analytic space. $C$-semianalytic sets…”
Get full text

A global Nullstellensatz for ideals of Denjoy-Carleman functions by Acquistapace, Francesca, Broglia, Fabrizio, Nicoara, Andreea

“…Proc. Amer. Math. Soc. 144 (2016), no. 5, 2067-2071 We prove a Nullstellensatz result for global ideals of Denjoy-Carleman functions in both finitely generated…”
Get full text

A Nullstellensatz for \L ojasiewicz ideals by Acquistapace, Francesca, Broglia, Fabrizio, Nicoara, Andreea

“…Rev. Mat. Iberoam. 30 (2014), no. 4, 1479-1487 For an ideal of smooth functions that is either {\L}ojasiewicz or weakly {\L}ojasiewicz, we give a complete…”
Get full text

On the Nullstellens\"atze for Stein spaces and $C$-analytic sets by Acquistapace, Francesca, Broglia, Fabrizio, Fernando, Jose F

“…In this work we prove the real Nullstellensatz for the ring ${\mathcal O}(X)$ of analytic functions on a $C$-analytic set $X\subset{\mathbb R}^n$ in terms of…”
Get full text

Failure of the Weierstrass Preparation Theorem in quasi-analytic Denjoy-Carleman rings by Acquistapace, Francesca, Broglia, Fabrizio, Bronshtein, Michail, Nicoara, Andreea, Zobin, Nahum

“…Advances in Mathematics 258C (2014), pp. 397-413 It is shown that Denjoy-Carleman quasi-analytic rings of germs of functions in two or more variables fail to…”
Get full text