The Solution of the ...-Neumann Problem in a Strictly Pseudoconvex Siegel Domain.
The space of holomorphic functions on bounded symmetric domains
The structure of polynomial ideals in the algebra of entire functions
The theorem of Forelli for holomorphic mappings into complex spaces
Generalizations of the theorem of Forelli to holomorphic mappings into complex spaces are given.
The theorems of Glicksberg and Hurwitz for holomorphic maps in complex Banach spaces
General versions of Glicksberg's theorem concerning zeros of holomorphic maps and of Hurwitz's theorem on sequences of analytic functions is extended to infinite dimensional Banach spaces.
The transcendence of certain quasi-periods associated with abelian functions in two variables
The ultra-distributions of exponential type of J. Sebastião e Silva
The use of D-modules to study exponential polynomials
This is a summary of recent work where we introduced a class of D-modules adapted to study ideals generated by exponential polynomials.
The zeros of functions of finite order in
The -Neumann operator and commutators of the Bergman projection and multiplication operators
We prove that compactness of the canonical solution operator to restricted to -forms with holomorphic coefficients is equivalent to compactness of the commutator defined on the whole where is the multiplication by and is the orthogonal projection of to the subspace of forms with holomorphic coefficients. Further we derive a formula for the -Neumann operator restricted to forms with holomorphic coefficients expressed by commutators of the Bergman projection and the multiplications...
Théorème de division et stabilité en géométrie analytique locale
À l’aide d’un théorème de division de séries entières convergentes avec estimation des normes sur un système fondamental de polydisques, on démontre un théorème de “passage du formel au convergent”. Ceci nous permet d’étudier les morphismes stables et plats entre germes d’espaces analytiques singuliers.
Théorèmes d'identité en dimension infinie
Théorèmes sur le prolongement analytique du type «edge of the wedge theorem»
Théorie des nombres et singularités.
Theory of Residues on the Projective Plane.
Thin Complements of Complete Kähler Domains.
Three related problems of Bergman spaces of tube domains over symmetric cones
It has been known for a long time that the Szegö projection of tube domains over irreducible symmetric cones is unbounded in for . Indeed, this is a consequence of the fact that the characteristic function of a disc is not a Fourier multiplier, a fundamental theorem proved by C. Fefferman in the 70’s. The same problem, related to the Bergman projection, deserves a different approach. In this survey, based on joint work of the author with D. Békollé, G. Garrigós, M. Peloso and F. Ricci, we give...
To the question on -sufficient sets.
Toeplitz operators associated with the Siegel domains
Toeplitz operators on Bergman spaces and Hardy multipliers
We study Toeplitz operators with radial symbols in weighted Bergman spaces , 1 < p < ∞, on the disc. Using a decomposition of into finite-dimensional subspaces the operator can be considered as a coefficient multiplier. This leads to new results on boundedness of and also shows a connection with Hardy space multipliers. Using another method we also prove a necessary and sufficient condition for the boundedness of for a satisfying an assumption on the positivity of certain indefinite...