Search Results - "Broglia, Fabrizio"

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…”
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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…”
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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…”
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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…”
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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…”
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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…”
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Connected sum of compact analytic hypersurfaces by Broglia, Fabrizio, Luminati, Domenico

“…A construction is given to find a global analytic (resp. algebraic) equation for the connected sum of two compact, analytic (resp. algebraic) hypersurfaces…”
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Nonnegative functions as squares or sums of squares by Bony, Jean-Michel, Broglia, Fabrizio, Colombini, Ferruccio, Pernazza, Ludovico

“…We prove that, for n ⩾ 4 , there are C ∞ nonnegative functions f of n variables (and even flat ones for n ⩾ 5 ) which are not a finite sum of squares of C 2…”
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" 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…”
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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…”
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On the Pythagoras numbers of real analytic curves by Acquistapace, Francesca, Broglia, Fabrizio, Fernando, José F., Ruiz, Jesús M.

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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…”
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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…”
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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…”
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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…”
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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…”
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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…”
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Essential coverings and triangulations by Broglia, Fabrizio

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