Representation of holomorphic functions on coverings of pseudoconvex domains in Stein manifolds via integral formulas on these domains [PDF]
, 2006 The classical integral representation formulas for holomorphic functions defined on pseudoconvex domains in Stein manifolds play an important role in the constructive theory of functions of several complex variables.
Brudnyi, Alexander
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Dynamical determinants and their applications [PDF]
This thesis is concerned with situations where we can define trace-class transfer oper- ators, and extract useful information from their determinants. The first topic is on Lyapunov exponents of random products of matrices.
Felton, Philip
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Complex Variables Functions : The stars at infinity in several complex variables [PDF]
This text reviews certain notions in metric geometry that may have further applications to problems in complex geometry and holomorphic dynamics in several variables.
Karlsson, Anders, Karlsson, Anders,
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L² approaches in several complex variables: towards the oka–cartan theory with precise bounds [PDF]
, 2018 This monograph presents 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.
Ohsawa, Takeo
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On the representation and boundary behavior of certain classes of holomorphic functions in several variables [PDF]
, 2015 This dissertation concerns the investigation of function theoretic properties of certain classes of holomorphic functions in two or more variables by means of operator theoretic methods.
Tully-Doyle, Ryan Keddie
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L² approaches in several complex variables: development of Oka–Cartan theory by L² estimates for the d-bar operator [PDF]
, 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
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Several topics in complex variables [PDF]
, 2015 This thesis is based on three articles in the field of Several Complex Variables. The first article, which is joint work with M. El Kadiri, defines and studies the concept of maximality for plurifinely plurisubharmonic functions.
Smit, I.M.
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Holomorphic functions on complex Banach lattices [PDF]
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
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ON IDENTICAL VANISHING OF HOLOMORPHIC FUNCTIONS IN SEVERAL COMPLEX VARIABLES [PDF]
Proceedings of the National Academy of Sciences, 1959 openaire +3 more sources
Some Applications Of Integral Formulas In Several Complex Variables [PDF]
, 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
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