The Wedge-of-the-edge Theorem: Edge-of-the-wedge Type Phenomenon Within the Common Real Boundary

DOI10.4153/CMB-2018-025-3zbMath1418.32006arXiv1709.05986OpenAlexW2962823028MaRDI QIDQ5377464

James Eldred Pascoe

Publication date: 24 May 2019

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.05986

zbMATH Keywords

analytic continuationedge-of-the-wedge theorem

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Boundary behavior of holomorphic functions of several complex variables (32A40)

Related Items (4)

The royal road to automatic noncommutative real analyticity, monotonicity, and convexity ⋮ Singularities of rational inner functions in higher dimensions ⋮ Automatic real analyticity and a regal proof of a commutative multivariate Löwner theorem ⋮ The non-tangential boundary behavior of the matrix-valued rational inner functions on bounded symmetric domain

Cites Work

• Operator monotone functions and Löwner functions of several variables
• Distinguished varieties
• Toral algebraic sets and function theory on polydisks
• Polynomials defining distinguished varieties
• Generalization of the ``Edge-of-the-Wedge Theorem
• Derivatives of rational inner functions: geometry of singularities and integrability at the boundary
• Bogolyubov's “edge of the wedge” theorem, its development and applications
• A wedge‐of‐the‐edge theorem: analytic continuation of multivariable Pick functions in and around the boundary
• Hyperbolic algebraic and analytic curves
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