Automorphisms on the spaces of entire functions of several variables over non-archimedean fields.
Average Growth Estimates for Hyperplane Sections of Entire Analytic Sets.
Averages of holomorphic mappings and holomorphic retractions on convex hyperbolic domains
Let D be a hyperbolic convex domain in a complex Banach space. Let the mapping F ∈ Hol(D,D) be bounded on each subset strictly inside D, and have a nonempty fixed point set ℱ in D. We consider several methods for constructing retractions onto ℱ under local assumptions of ergodic type. Furthermore, we study the asymptotic behavior of the Cesàro averages of one-parameter semigroups generated by holomorphic mappings.
Balanced domains of holomorphy of type
Bases in the space of entire Dirichlet funtions of two complex variables.
Basische Elemente in Steinschen Moduln.
Behavior of holomorphic functions in complex tangential directions in a domain of finite type in Cn.
Let Ω be a domain in Cn. It is known that a holomorphic function on Ω behaves better in complex tangential directions. When Ω is of finite type, the best possible improvement is quantified at each point by the distance to the boundary in the complex tangential directions (see the papers on the geometry of finite type domains of Catlin, Nagel-Stein and Wainger for precise definition). We show that this improvement is characteristic: for a holomorphic function, a regularity in complex tangential directions...
Berezin and Berezin-Toeplitz quantizations for general function spaces.
The standard Berezin and Berezin-Toeplitz quantizations on a Kähler manifold are based on operator symbols and on Toeplitz operators, respectively, on weighted L2-spaces of holomorphic functions (weighted Bergman spaces). In both cases, the construction basically uses only the fact that these spaces have a reproducing kernel. We explore the possibilities of using other function spaces with reproducing kernels instead, such as L2-spaces of harmonic functions, Sobolev spaces, Sobolev spaces of holomorphic...
Bergman completeness of complete circular domains
Bergman completeness of Zalcman type domains
We give an equivalent condition for Bergman completeness of Zalcman type domains. This also solves a problem stated by Pflug.
Bergman function, Genchev transform and L²-angles, for multidimensional tubes [Book]
Bergman Spaces For The Solutions Of Linear Partial Differential Equations.
Bergman spaces of temperature functions on a cylinder.
Bernstein quasianalytic functions on algebraic sets.
Beschränkte Integraloperatoren auf streng q-konvexen Gebieten in Cn.
Beschränkte Lösungen der Cauchy-Riemannschen Differentialgleichungen auf q-konkaven Gebieten.
Besov spaces and the boundedness of weighted Bergman projections over symmetric tube domains.
Bestimmungsflächen für des Randwachstum holomorpher Funktionen auf analytischen Polyedern
Beweis des Satzes, dass eine einwerthige Function beliebig vieler Variabeln, welche überall als Quotient zweier Potenzreihen dargestellt werden kann, eine rationale Function ihrer Argumente ist.
Biholomorphic equivalence of bounded Reinhardt domains