Results 81 to 90 of about 519 (182)

L² approaches in several complex variables: development of Oka–Cartan theory by L² estimates for the d-bar operator

open access: yes, 2015
The purpose of this monograph is to present the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry. Highlighted are the new precise
Ohsawa, Takeo
core   +1 more source

Radial limits of holomorphic functions on the ball [PDF]

open access: yes, 2008
In this dissertation, we consider various aspects of the boundary behavior of holomorphic functions of several complex variables. In dimension one, a characterization of the radial limit zero sets of nonconstant holomorphic functions on the disc has been
Fulkerson, Michael C
core  

Holomorphic functions on complex Banach lattices

open access: yes
We introduce and study the algebraic, analytic and lattice properties of regular homogeneous polynomials and holomorphic functions on complex Banach lattices. We show that the theory of power series with regular terms is closer to the theory of functions
Ryan, Raymond A.   +2 more
core  

Some Applications Of Integral Formulas In Several Complex Variables

open access: yes, 2007
Introduction This thesis consists of three papers, [B1], [B2] and [A-B], where we use integral formulas in several complex variables in dioeerent ways.
Jörgen Boo
core  

Worm Domains are not Gromov Hyperbolic. [PDF]

open access: yesJ Geom Anal, 2023
Arosio L, Dall'Ara GM, Fiacchi M.
europepmc   +1 more source

On Bergman type spaces of holomorphic functions and the density, in these spaces, of certain classes of singular functions

open access: yes, 2018
We consider Bergman spaces and variations of them on domains Ω in one or several complex variables. For certain domains Ω, we show that the generic function in these spaces is totally unbounded in Ω and hence non-extendable. We also show that generically
Kioulafa, K.   +2 more
core  

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