Singular sets of separately analytic functions
We complete the characterization of singular sets of separately analytic functions. In the case of functions of two variables this was earlier done by J. Saint Raymond and J. Siciak.
Singular sets of separately analytic functions
Spectral study of holomorphic functions with bounded growth
This paper studies properties of a large class of algebras of holomorphic functions with bounded growth in several complex variables.The main result is useful in the applications. Using the symbolic calculus of L. Waelbroeck, it gives for instance a theorem of the “Nullstellensatz” type and approximation theorems.
Stability in the Cauchy and Morera theorems for holomorphic functions and their spatial analogs.
Strong boundary values : independence of the defining function and spaces of test functions
The notion of “strong boundary values” was introduced by the authors in the local theory of hyperfunction boundary values (boundary values of functions with unrestricted growth, not necessarily solutions of a PDE). In this paper two points are clarified, at least in the global setting (compact boundaries): independence with respect to the defining function that defines the boundary, and the spaces of test functions to be used. The proofs rely crucially on simple results in spectral asymptotics.
Strong boundedness of analytic functions in tubes.
Subordination Chains and Univalence of Holomorphic Mappings in Cn.
Subordination theory for holomorphic mappings of several complex variables
The authors obtain a generalization of Jack-Miller-Mocanu’s lemma and, using the technique of subordinations, deduce some properties of holomorphic mappings from the unit polydisc in into .
Sul teorema di Cauchy-Morera per le funzioni analitiche di più variabili complesse
A Cauchy-Morera theorem is proved for a function of complex variables, assuming only . A related result of Bochner, concerning continuous functions, is extended to a larger function class.
Sur la formule de Jensen et les zeros des fonctions holomorphes dans le poly-disque.
Sur la topologie tonnelée associée a la topologie de Nachbin
Sur le problème de Bennequin : un contre-exemple (d'après Alexander)
Sur les fonctions analytiques f(x,y) dont l'ensemble des zéros par rapport a y est algébrique