On non-isomorphism of Banach spaces of holomorphic functions
On non-Uniqueness of Complex Geodesies in Convex Bounded Domains
Si studiano «combinazioni convesse complesse» per mappe olomorfe dal disco unità di in un dominio convesso limitato di uno spazio di Banach complesso , e se ne traggono conseguenze sul carattere globale della non unicità per le geodetiche complesse di .
On normal stratified pseudomanifolds.
On normalization of Nash varieties
On -adic uniformization
On -th order of a function of two complex variables analytic in the unit polydisc
On Penney's Cayley transform of a homogeneous Siegel domain.
On period relations for abelian integrals on algebraic curves
On perturbations of pluriregular sets generated by sequences of polynomial maps
It is shown that an infinite sequence of polynomial mappings of several complex variables, with suitable growth restrictions, determines a filled-in Julia set which is pluriregular. Such sets depend continuously and analytically on the generating sequences, in the sense of pluripotential theory and the theory of set-valued analytic functions, respectively.
On Plurigenera of Normal Isolated Singularities. I.
On pluriharmonic interpolation.
On polar invariants of hypersurface singularities
On Pólya's Theorem in several complex variables
Let K be a compact set in ℂ, f a function analytic in ℂ̅∖K vanishing at ∞. Let be its Taylor expansion at ∞, and the sequence of Hankel determinants. The classical Pólya inequality says that , where d(K) is the transfinite diameter of K. Goluzin has shown that for some class of compacta this inequality is sharp. We provide here a sharpness result for the multivariate analog of Pólya’s inequality, considered by the second author in Math. USSR Sbornik 25 (1975), 350-364.
On Polynomials and Exponential Polynomials in Several Complex Variables.
On polynomials whose fibres are irreducible with no critical points.
On p-parameter bifurcation of an n-dimensional function-germ.
On ∂̅-problems on (pseudo)-convex domains
In this survey we shall tour the area of multidimensional complex analysis which centers around ∂̅-problems (i.e., the Cauchy-Riemann equations) on pseudoconvex domains. Along the way we shall highlight some of the classical milestones as well as more recent landmarks, and we shall discuss some of the major open problems and conjectures. For the sake of simplicity we will only consider domains in ; intriguing phenomena occur already in the simple setting of (Euclidean) convex domains. We will not...
On propagation of boundary continuity of holomorphic functions of several variables
We prove that continuity properties of bounded analytic functions in bounded smoothly bounded pseudoconvex domains in two-dimensional affine space are determined by their behaviour near the Shilov boundary. Namely, if the function has continuous extension to an open subset of the boundary containing the Shilov boundary it extends continuously to the whole boundary. If it is e.g. Hölder continuous on such a boundary set, it is Hölder continuous on the closure of the domain. The statements may fail...
On proper discs in complex manifolds
Let be a complex manifold of dimension at least which has an exhaustion function whose Levi form has at each point at least strictly positive eigenvalues. We construct proper holomorphic discs in through any given point and in any given direction.
On proper R-actions on hyperbolic Stein surfaces.