A lemma on mixed derivatives with applications to edge-of-the-wedge, Radon transformation and a theorem of Forelli
A Levi Problem on Two-Dimensional Complex Manifolds.
A linear extension operator for Whitney fields on closed o-minimal sets
A continuous linear extension operator, different from Whitney’s, for -Whitney fields (p finite) on a closed o-minimal subset of is constructed. The construction is based on special geometrical properties of o-minimal sets earlier studied by K. Kurdyka with the author.
A link between and analytic solvability for P.D.E. with constant coefficients
A Liouville theorem for plurisubharmonic currents
The goal of this paper is to extend the concepts of algebraic and Liouville currents, previously defined for positive closed currents by M. Blel, S. Mimouni and G. Raby, to psh currents on . Thus, we study the growth of the projective mass of positive currents on whose support is contained in a tubular neighborhood of an algebraic subvariety. We also give a sufficient condition guaranteeing that a negative psh current is Liouville. Moreover, we prove that every negative psh algebraic current...
A local algebra structure for of the polydisc
A local Bernstein inequality on real algebraic varieties.
A local form for the automorphisms of the spectral unit ball.
A local Martinelli-Bochner formula on hypersurfaces.
A Local Property of L-regular Sets.
A Local Version of Levenberg's Theorem on Determining Measures and Leja's Polynomial Condition.
A lower bound on the radius of analyticity of a power series in a real Banach space
Let F be a power series centered at the origin in a real Banach space with radius of uniform convergence ϱ. We show that F is analytic in the open ball B of radius ϱ/√e, and furthermore, the Taylor series of F about any point a ∈ B converges uniformly within every closed ball centered at a contained in B.
A method for weight multiplicity computation based on Berezin quantization.
A method of holomorphic retractions and pseudoinverse matrices in the theory of continuation of δ-tempered functions [Book]
A method to estimate the degree of -sufficiency of analytic functions.
A microlocal version of Cartan-Grauert's theorem
Tuboids are tube-like domains which have a totally real edge and look asymptotically near the edge as a local tube over a convex cone. For such domains we state an analogue of Cartan’s theorem on the holomorphic convexity of totally real domains in .
A model for Toepliz operators in the space of entire functions of exponential type
A Modular Group and Riemann Surfaces of Genus 2.
A multi-dimensional spectral theory in C*-algebras
A Nakai-Moishezon criterion for non-Kähler surfaces
A version of the classical Nakai-Moishezon criterion is proved for all compact complex surfaces, regardless of the parity of the first Betti number.