On the reflection principle in C^n
Complex Variables
2009-09-25 v1
Authors:
Alexander Sukhov
Abstract
We propose a reflection principle for holomorphic objects in Cn. Our construction generalizes the classical principle of H.Lewy, S.Pinchuk and S.Webster.
Cite
@article{arxiv.math/9412202,
title = {On the reflection principle in C^n},
author = {Alexander Sukhov},
journal= {arXiv preprint arXiv:math/9412202},
year = {2009}
}
Related papers
View all related →
Complex Variables · Mathematics
A reflection principle for real-analytic submanifolds of complex spaces
Bernhard Lamel
2007-05-23
Complex Variables · Mathematics
Reflection principle and envelopes of holomorphy
Joel Merker
2007-05-23
Complex Variables · Mathematics
On the $C^{\infty}$ version of the reflection principle for mappings between CR manifolds
Shiferaw Berhanu, Ming Xiao
2014-11-11
Disordered Systems and Neural Networks · Physics
The harmony, reflection and other principles of complex systems
D. B. Saakian
2007-05-23
Complex Variables · Mathematics
On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle
Joel Merker
2007-05-23
Differential Geometry · Mathematics
Reflection principle for lightlike line segments on maximal surfaces
Shintaro Akamine, Hiroki Fujino
2020-02-20
Complex Variables · Mathematics
Holomorphic extension of CR functions, envelopes of holomorphy and removable singularities
Joël Merker, Egmont Porten
2007-05-23
Differential Geometry · Mathematics
Reflection of a wave off a surface
Brendan Guilfoyle, Wilhelm Klingenberg
2021-11-15
Complex Variables · Mathematics
An extension result of CR Functions by a general Schwarz reflection principle
Chun Yin Hui
2014-04-21
Logic · Mathematics
Corson reflections
Ilijas Farah, Menachem Magidor
2020-01-28
Logic in Computer Science · Computer Science
Reflection and Preservation of Properties in Coalgebraic (bi)Simulations
Ignacio Fábregas, Miguel Palomino, David de Frutos-Escrig
2024-02-05
Metric Geometry · Mathematics
Reflections of convex bodies and their sections
Jorge L. Arocha, Javier Bracho, Luis Montejano
2022-08-08
Dynamical Systems · Mathematics
Density of thin film billiard reflection pseudogroup in Hamiltonian symplectomorphism pseudogroup
Alexey Glutsyuk
2025-09-17
High Energy Physics - Theory · Physics
Some Properties of the Calogero-Sutherland Model with Reflections
D. Serban
2008-11-26
Operator Algebras · Mathematics
Reflective-coreflective equivalence
Erik Bédos, S. Kaliszewski, John Quigg
2011-03-08
Differential Geometry · Mathematics
Reflection Principles for Smooth Harmonic Maps between Riemannian Manifolds and a Schwarz Reflection Principle for Harmonic and Holomorphic Maps from a Class of Hermitian Symmetric Spaces
Dominic S. P. Leung
2017-07-20
Differential Geometry · Mathematics
On Hamilton's Characteristic Functions for Reflection
Brendan Guilfoyle, Wilhelm Klingenberg
2007-05-23
General Relativity and Quantum Cosmology · Physics
Generalized Holographic Principle, Gauge Invariance and the Emergence of Gravity a la Wilczek
Andrea Addazi, Pisin Chen, Filippo Fabrocini, Chris Fields +4
2020-04-30
Complex Variables · Mathematics
Generalization of Lohwater-Pommerenke's Theorem
P. V. Dovbush
2023-03-21
Complex Variables · Mathematics
The involutive structure on the blow-up of R^n in C^n
Michael Eastwood, C. Robin Graham
2009-09-25
Classical Physics · Physics
Reflection of light from a uniformly moving mirror
Aleksandar Gjurchinovski
2021-12-09
Mathematical Physics · Physics
Levinson's theorem: an index theorem in scattering theory
S. Richard
2015-06-30
Logic · Mathematics
Large cardinals as principles of Structural Reflection
Joan Bagaria
2021-07-06
Complex Variables · Mathematics
Propagation of analyticity for essentially finite C^infty-smooth CR mappings
Joel Merker
2007-05-23
Representation Theory · Mathematics
On tilings defined by discrete reflection groups
Pavel V. Bibikov, Vladimir S. Zhgoon
2009-11-23