Inner -th Carathéodory-Reiffen completeness of Reinhardt domains
A description of bounded pseudoconvex Reinhardt domains, which are complete with respect to the inner -th Carathéodory-Reiffen distance, is given.
Inoue-Hirzebruch Surfaces and a Duality of Hyperbolic Unimodular Singularities. I.
Instantons on Hopf surfaces and monopoles on solid tori.
Instrinsic Connections for Levi Metrics.
Integrable analytic vector fields with a nilpotent linear part
We study the normalization of analytic vector fields with a nilpotent linear part. We prove that such an analytic vector field can be transformed into a certain form by convergent transformations when it has a non-singular formal integral. We then prove that there are smoothly linearizable parabolic analytic transformations which cannot be embedded into the flows of any analytic vector fields with a nilpotent linear part.
Integrable Osculating Plane Distributions
We give a necessary condition for a holomorphic vector field to induce an integrable osculating plane distribution and, using this condition, we give a characterization of such fields. We also give a generic classification for vector fields which have two invariant coordinate planes.
Integral closure of modules and Whitney equisingularity.
Integral closure of in via the Puiseux theorem.
Integral Formulas for the ... ....-Equation and Zeros of Bounded Holomorphic Functions in the Unit Ball.
Integral formulas for the -equation on complex projective algebraic manifolds
Integral formulas on projective space and the radon transform of Gindikin-Henkin-Polyakov.
We construct a variant of Koppelman's formula for (0,q)-forms with values in a line bundle, O(l), on projective space. The formula is then applied to a study of a Radon transform for (0,q)-forms, introduced by Gindikin-Henkin-Polyakov. Our presentation follows along the basic lines of Henkin-Polyakov [3], with some simplifications.
Integral kernels and Hölder estimates of ... on pseudoconvex domains of finite type in C2.
Integral representation formulas for Cartan domains. (Formules de représentation intégrale pour les domaines de Cartan.)
Integral representation of -variable positive real functions
Integral representations and coherent states.
Integral representations for solutions of exponential Gauß-Manin systems
Let be two regular functions from the smooth affine complex variety to the affine line. The associated exponential Gauß-Manin systems on the affine line are defined to be the cohomology sheaves of the direct image of the exponential differential system with respect to . We prove that its holomorphic solutions admit representations in terms of period integrals over topological chains with possibly closed support and with rapid decay condition.
Integral representations for some weighted classes of functions holomorphic in matrix domains
In 1945 the first author introduced the classes , 1 ≤ p<∞, α > -1, of holomorphic functions in the unit disk with finite integral (1) ∬ |f(ζ)|p (1-|ζ|²)α dξ dη < ∞ (ζ=ξ+iη) and established the following integral formula for : (2) f(z) = (α+1)/π ∬ f(ζ) ((1-|ζ|²)α)/((1-zζ̅)2+α) dξdη, z∈ . We have established that the analogues of the integral representation (2) hold for holomorphic functions in Ω from the classes , where: 1) , ; 2) Ω is the matrix domain consisting of those complex m...
Integral representations of analytic functions in unbounded domains with determining manifolds.
Integral representations on weakly pseudoconvex domains.
Integral solution operators for the Cauchy-Riemann equations on pseudoconvex domains.