On derived and integrated sets of basic sets of polynomials of several complex variables.
On holomorphic isometries for the Kobayashi and Carathéodory distances on complex manifolds
It is shown that under certain conditions every holomorphic isometry for the Carathéodory or the Kobayashi distances is an isometry for the corrisponding metrics. These results are used to give a characterization of biholomorphic mappings between convex domains and complete circular domains.
On holomorphic maps between domains in
On matrix Reinhardt domains.
On roots of the automorphism group of a circular domain in
We study the properties of the group Aut(D) of all biholomorphic transformations of a bounded circular domain D in containing the origin. We characterize the set of all possible roots for the Lie algebra of Aut(D). There exists an n-element set P such that any root is of the form α or -α or α-β for suitable α,β ∈ P.
On the automorphisms of circular and Reinhardt domains in complex Banach spaces.
On the differential properties of Temlyakov-type and Temlyakov-Bavrin-type integrals.
On the Forelli-Rudin construction and weighted Bergman projections
On the Fourier-Laplace representation of analytic functions in tube domains.
On the Holomorphic Endomorphisms of the Ball
Sia un endomorfismo olomorfo della palla unitaria aperta di . In questa nota proviamo che certe ipotesi minimali, relative al comportamento di su un orociclo e vicino ad un punto del bordo, assicurano che è un automorfismo olomorfo di .
On the Mapping Problem for Algebraic Real Hypersurfaces.
On the Phragmén-Lindelöf principle for a polyangle
On the spectrum of A(Ω) and
We study some properties of the maximal ideal space of the bounded holomorphic functions in several variables. Two examples of bounded balanced domains are introduced, both having non-trivial maximal ideals.
On the zero set of the Kobayashi-Royden pseudometric of the spectral unit ball
Given A∈ Ωₙ, the n²-dimensional spectral unit ball, we show that if B is an n×n complex matrix, then B is a “generalized” tangent vector at A to an entire curve in Ωₙ if and only if B is in the tangent cone to the isospectral variety at A. In the case of Ω₃, the zero set of the Kobayashi-Royden pseudometric is completely described.
Operator-Valued Positive Definite Kernels on Tubes.
Parabolic exhaustions for strictly convex domains.
Peirce-Zerlegungen und Jordan-Strukturen zu homogenen Kegeln.
Poisson-like kernels in tube domains over light-cones
A family of holomorphic function spaces can be defined with reproducing kernels , obtained as real powers of the Cauchy-Szegö kernel. In this paper we study properties of the associated Poisson-like kernels: . In particular, we show boundedness of associated maximal operators, and obtain formulas for the limit of Poisson integrals in the topological boundary of the cone.
Polynomial Hulls with Convex Fibers.
Projecteurs de Bergman et Szegö pour une classe de domaines faiblement pseudo-convexes et estimations