Boundary properties of holomorphic functions of several complex variables (Q1246061)

scientific article; zbMATH DE number 3584177

Language	Label	Description	Also known as
English	Boundary properties of holomorphic functions of several complex variables	scientific article; zbMATH DE number 3584177

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instance of

scholarly article

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title

Boundary properties of holomorphic functions of several complex variables (English)

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published in

Journal of Soviet Mathematics

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publication date

1976

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The analytic capacity of sets in problems of approximation theory

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The absence of a linear resolvent operator in problems in the theory of holomorphic functions

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Extending bounded holomorphic functions from certain subvarieties of a polydisc

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Uniform algebras on curves

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Polynomial Approximation and Hulls in Sets in Finite Linear Measure in C n

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Polynomial approximation and analytic structure

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Analytic continuation across a linear boundary

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Subalgebras of functions on a Riemann surface

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A minimal boundary for function algebras

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A General Rudin-Carleson Theorem

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Analyticity in Certain Banach Algebras

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Differentiable manifolds in complex Euclidean space

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Analytic structures in the maximal ideal space of a uniform algebra

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Analytic and meromorphic continuation by means of Green's formula

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Group invariance of Cauchy's formula in several variables

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Boundary values of analytic functions in several variables and of almost periodic functions

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A-measures on complex manifolds and some applications

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Das Randverhalten der Bergmanschen Kernfunktion und Metrik in streng pseudokonvexen Gebieten

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Über die 1. und 2. Ableitung der Bergmanschen Kernfunktion und ihr Randverhalten

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Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné

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Proper holomorphic self-maps of the unit ball

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Q5565773

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Q3291681

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Lokale Kerne und beschränkte Lösungen für den $\bar\partial$-Operator auf $q$-konvexen Gebieten

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Q5539972

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Q5521040

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Uniform Approximation on a Real-Analytic Manifold

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Tangential Cauchy-Riemann equations and uniform approximation

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A compact set that is locally holomorphically convex but not holomorphically convex

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Complex Boundary Value Problems

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Strongly Subharmonic Functions.

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The abstract theorem of Cauchy-Weil

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The abstract F. and M. Riesz theorem

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Boundary behavior of the Carathéodory, Kobayashi, and Bergman metrics on strongly pseudoconvex domains in {{𝐂}}ⁿ with smooth boundary

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Bemerkenswerte pseudokonvexe Mannigfaltigkeiten

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Q5621558

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Q5542941

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Upper Bounds on the Dimension of Extendibility of Submanifolds in C n

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Holomorphic approximation and hyperfunction theory on a C$^1$ totally real submanifold of a complex manifold

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Zero sets of non-negative strictly plurisubharmonic functions

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The Bidisk is not Biholomorphic to the Ball

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The minimum boundary for an analytic polyhedron

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$L^ 2$ estimates and existence theorems for the $\partial$-operator

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Generators for some rings of analytic functions

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Lp Estimates for (Pluri-) Subharmonic Functions.

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Uniform Approximation on Compact Sets in $\mathsf{C}^n$.

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A NONLOCAL FUNCTION ALGEBRA

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Hölder and Lp estimates for solutions of ∂u = f in strongly pseudoconvex domains

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The Bergman kernel function. Differentiability at the boundary

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Q5677900

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Intertwining operators for semisimple groups

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Harmonic integrals on strongly pseudo-convex manifolds. I

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Harmonic integrals on strongly pseudo-convex manifolds. II

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Integration of complex vector fields

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Boundary behavior of $\bar \partial$ on weakly pseudo-convex manifolds of dimension two

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Global Regularity for $\overline \partial$ on Weakly Pseudo-Convex Manifolds

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A pseudo-convex domain not admitting a holomorphic support function

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On the extension of holomorphic functions from the boundary of a complex manifold

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The abstract F. and M. Riesz theorem

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The Cauchy integral for functions of several complex variables

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The Cauchy integral for differential forms

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Q5651002

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On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables

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On hulls of holomorphy

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Ein Approximationssatz auf streng pseudokonvexen Gebieten

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Die Cauchy-Riemannschen Differentialgleichungen auf streng pseudokonvexen Gebieten. Beschränkte Lösungen

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The Cauchy-Riemann differential equations on strongly pseudo-convex domains. Continuous boundary values.

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Fatou's theorem for symmetric spaces

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Q5620815

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Sulla determinazione di una funzione analitica di piu variabili complesse in un campo, assegnatane la traccia sulla frontiera

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The analytic embedding of abstract real-analytic manifolds

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Compact analytical varieties

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On the H. Lewy Extension Phenomenon

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The cohomology of restrictions of the $\bar \partial$ complex

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Approximation Theorems on Differentiable Submanifolds of a Complex Manifold

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Q5767162

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Integral Representation Formulas and $L^p$-Estimates for the $\bar{\partial}$-Equation.

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Generators of the maximal ideals of $A(\bar{D})$

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Ein Divisionsproblem und Randintegraldarstellungen in der komplexen Analysis

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Holomorphic approximation near strictly pseudoconvex boundary points

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Uniform estimates for the $\bar\partial$-equation on domains with piecewise smooth strictly pseudoconvex boundaries

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Die Caratheodorysche Distanz und ihre zugehörige Differentialmetrik

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Eigentliche holomorphe Abbildungen

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Holomorphically convex sets in several complex variables

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A Generalization of a Theorem of Hans Lewy

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Q5567211

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Q5524751

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Shorter Notes: An Extension of Hartogs' Theorem for Domains whose Boundary is not Smooth

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Die Randwerte holomorpher Funktionen auf hermitesch symmetrischen Räumen

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Complete intersections in Stein manifolds

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Zur Theorie der Funktionen mehrerer komplexer Veränderlichen. Die Regularitätshüllen niederdimensionaler Mannigfaltigkeiten

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Boundary values of bounded holomorphic functions of several variables

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Sheaf Cohomology with Bounds and Bounded Holomorphic Functions

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Boundary values of holomorphic functions

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Boundary Behavior of Holomorphic Functions of Several Complex Variables. (MN-11)

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Singular integrals and estimates for the Cauchy-Riemann equations

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Polynomially and rationally convex sets

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Uniform approximation on smooth curves

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Q5524752

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The second Cousin problem with bounded data

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Q5676505

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Fredholm operators associated with strongly pseudoconvex domains in $C^n$

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Topologische Fortsetzung biholomorpher Funktionen auf dem Rande bei beschränkten streng-pseudokonvexen Gebieten im C$^n$ mit C$^\infty$- Rand

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Continuous Boundary Values of Analytic Functions of Several Complex Variables

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An Approximation Theorem for $\overline \partial$-Closed Forms of Type $(n, n - 1)$

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Approximation by holomorphic functions on certain product sets in C$^N$

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Holomorphic Approximation on Real-Analytic Submanifolds of a Complex Manifold

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On the local holomorphic hull of a real submanifold in several complex variables

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Q5569319

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Real-analytic subvarieties and holomorphic approximation

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The hull of a curve in $\mathbb C^n$

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Polynomial approximation on an arc in $C^3$

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Approximation on a disk

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Polynomially convex disks

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Identifiers

zbMATH Open document ID

0375.32005

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DOI

10.1007/BF01091908

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1246061