On the Existence of Analytic Contractions.
On the existence of bounded holomorphic functions on complete Kähler manifolds.
On the existence of parabolic actions in convex domains of
We prove that the one-parameter group of holomorphic automorphisms induced on a strictly geometrically bounded domain by a biholomorphism with a model domain is parabolic. This result is related to the Greene-Krantz conjecture and more generally to the classification of domains having a non compact automorphisms group. The proof relies on elementary estimates on the Kobayashi pseudo-metric.
On the expansions of analytic functions on convex locally closed sets in exponential series.
On the extended tube conjecture.
On the extension in the Hardy classes and the Nevanlinna class
On the extension of continuous linear maps in function spaces and the splitness of Dolbeaut complexes of holomorphic Banach bundles
On the extension of C.R. functions.
On the extension of holomorphic functions across a real hypersurface.
On the Extension of L2 Holomorphic Functions.
On the extension of L2 holomorphic functions III: negligible weights.
On the extension of Nash functions.
On the Extreme Points of a Subclass of Holomorphic Functions with Positive Real Part.
On the Faraut-Koranyi hypergeometric functions in rank two
We give a complete description of the boundary behaviour of the generalized hypergeometric functions, introduced by Faraut and Koranyi, on Cartan domains of rank 2. The main tool is a new integral representation for some spherical polynomials, which may be of independent interest.
On the fiber of the compound of a real analytic function by a projection
Sia con una funzione analitica. Se il luogo critico di è compatto, esiste una fibrazione localmente triviale associata ai livelli . Supponiamo e sia la proiezione . Sotto una condizione sul luogo critico di esiste anche una fibrazione localmente triviale associata ai livelli di . Siano e le fibre rispettitive, e l'intervallo unità reale. Dimostriamo qui che è omeomorfa al prodotto . Nel caso di polinomi studiamo criteri effettivi. Diamo inoltre un'applicazione del risultato...
On the finite Fourier transforms of functions with infinite discontinuities.
On the finiteness of Pythagoras numbers of real meromorphic functions
We consider the 17th Hilbert Problem for global real analytic functions in a modified form that involves infinite sums of squares. Then we prove a local-global principle for a real global analytic function to be a sum of squares of global real meromorphic functions. We deduce that an affirmative solution to the 17th Hilbert Problem for global real analytic functions implies the finiteness of the Pythagoras number of the field of global real meromorphic functions, hence that of the field of real...
On the Forelli-Rudin construction and weighted Bergman projections
On the Fourier-Laplace representation of analytic functions in tube domains.
On the functoriality of stratified desingularizations.