Relative order of entire functions of several complex variables
Representation of functions by logarithmic potential and reducibility of analytic functions of several variables.
The necessary and sufficient condition that a given plurisubharmonic or a subharmonic function admits the representation by the logarithmic potential (up to pluriharmonic or a harmonic term) is obtained in terms of the Radon transform. This representation is applied to the problem of representation of analytic functions by products of primary factors.
Ruscheweyh differential operator sets of basic sets of polynomials of several complex variables in hyperelliptical regions.
Some class of integral functions represented by Dirichlet series of several complex variables having finite order.
Some spaces of entire and nuclearly entire functions on a Banach space. I.
Some spaces of entire and nuclearly entire functions on a Banach space. II.
Sous-ensembles analytiques d’ordre fini ou infini dans
Sur les fonctions périodiques
Sur une transformation des fonctionnelles analytiques et ses applications aux fonctions entières de plusieurs variables
Systems of convolution equations and LAU-spaces
Dato un sistema omogeneo di equazioni di convoluzione in spazi dotati di strutture analiticamente uniformi, si forniscono condizioni per ottenere teoremi di rappresentazione per le sue soluzioni.
The area of analytic varieties in C...
The canonical solution operator to aDOb∂aFOb restricted to spaces of entire functions
The existence and the continuation of holomorphic solutions for convolution equations in tube domains
The overdetermined Cauchy problem
We consider the (characteristic and non-characteristic) Cauchy problem for a system of constant coefficients partial differential equations with initial data on an affine subspace of arbitrary codimension. We show that evolution is equivalent to the validity of a principle on the complex characteristic variety and we study the relationship of this condition with the one introduced by Hörmander in the case of scalar operators and initial data on a hypersurface.
The quasi-canonical solution operator to restricted to the Fock-space
We consider the solution operator to the -operator restricted to forms with coefficients in . Here denotes -forms with coefficients in , is the corresponding -space and is a suitable rotation-invariant absolutely continuous finite measure. We will develop a general solution formula to . This solution operator will have the property . As an application of the solution formula we will be able to characterize compactness of the solution operator in terms of compactness of commutators...
The Ryll-Wojtaszczyk polynomials
To the question on -sufficient sets.
Un analogue holomorphe du théorème de Lindemann
Indépendance linéaire de où sont des fonctions holomorphes sur avec non constante pour .
Un système de résultants pour tester la propreté d'une application polynomiale
Étant donnés n entiers strictement positifs d₁,..., dₙ, nous construisons un système universel de résultants-test permettant de tester si une collection P₁,..., Pₙ de polynômes de degrés respectifs d₁,..., dₙ, à coefficients indeterminés, définit une application propre de ℂⁿ dans ℂⁿ dès lors que l’intersection des supports des diviseurs induits par les , j = 1,..., n, dans ℙⁿ(ℂ) est une variété algébrique discrète ; le test s’effectue via l’évaluation des résultants-test sur les coefficients des...
Zéros de fonctions entières et hypersurfaces algébriques.