Results 181 to 190 of about 2,775,649 (193)

Domains of Holomorphy and Pseudoconvexity

1986
In 1906 F. Hartogs discovered the first example exhibiting the remarkable extension properties of holomorphic functions in more than one variable. It is this phenomenon, more than anything else, which distinguishes function theory in several variables from the classical one-variable theory.
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Pseudoconvex domains of semiregular type

1994
In this article we develop the geometric tools needed for obtaining more precise analytic information than known so-far on a relatively large class of bounded pseudoconvex domains Ω ⊂ ℂ n with C ∞-smooth boundary of finite type.
Klas Diederich, Gregor Herbort
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Construction of polynomials on a number of pseudoconvex domains

Mathematika, 1987
A domain D in \({\mathbb{C}}^ n\) is called H-pseudoconvex if every point of \(\partial D\) possesses a holomorphic support function for the domain D. The author proves the following approximation theorem: Let \(D\subset {\mathbb{C}}^ n\) be an H-pseudoconvex domain and \(z_ 0\in \partial d\).
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Deformations of strictly pseudoconvex domains [PDF]

Inventiones mathematicae, 1978
S. Shnider, D. Burns, Raymond O. Wells
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Invariant metrics on pseudoconvex domains

1984
Let Ω be a bounded domain in ℂn. Each of the metrics of Bergman, Caratheodory, and Kobayashi assigns a positive number to a given non-zero tangent vector X above a point z in Ω. This assignment is invariant in the sense that if f is a biholomorphism of Ω onto another bounded domain Ω′, then the metric applied to X equals the value of the metric on Ω ...
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VI Domains of holomorphy and pseudoconvexity

2010
At the end of Chapter I and in Chapter III we met open sets in ℂ n on which any holomorphic function can be extended to a larger open set. The open sets which do not have this property are called domains of holomorphy: in this chapter we study such open sets.
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Invariant metrics on unbounded strongly pseudoconvex domains with non-compact automorphism group

, 2016
Hyeseon Kim, Atsushi Yamamori, Liyou Zhang   +2 more
semanticscholar   +1 more source

Volume Approximations of Strongly Pseudoconvex Domains

, 2017
Purvi Gupta
semanticscholar   +1 more source

Bounded Plurisubharmonic Exhaustion Functions for Lipschitz Pseudoconvex Domains in $${\mathbb {C}}{\mathbb {P}}^n$$CPn

, 2017
Phillip S. Harrington
semanticscholar   +1 more source

Carleson measures and balayage for Bergman spaces of strongly pseudoconvex domains

, 2016
Zhangjian Hu, Xiaofen Lv, Kehe Zhu
semanticscholar   +1 more source