Small families of complex lines for testing holomorphic extendibility [PDF]
, 2009 Let $B$ be the open unit ball in ${\Bbb C}^2$. This paper deals with the analog of Hartogs' separate analyticity theorem for CR functions on the sphere $bB$. We prove such a theorem for functions in $C^\infty (bB)$: If $a, b\in\overline B$, $a\not=b$ and
J. Globevnik
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Extension of holomorphic functions defined on non reduced analytic subvarieties [PDF]
, 2015 The goal of this contribution is to investigate L${}^2$ extension properties for holomorphic sections of vector bundles satisfying weak semi-positivity properties. Using techniques borrowed from recent proofs of the Ohsawa-Takegoshi extension theorem, we obtain several new surjectivity results for the restriction morphism to a non necessarily reduced ...
Jean-Pierre Demailly
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General Integral Representation of the Holomorphic Functions on the Analytic Subvariety
Publications of the Research Institute for Mathematical Sciences, 1993 A compact metric space \(R\) is called a slit space if there is a nonempty closed subset (slit) \(S \subset R\), s.t. each point of it is an accumulation point for \(R \setminus S\), and \(R \setminus S\) is homeomorphic to a topological product of a connected differential manifold of class \(C^ 2\) and a compact set.
Shu Jin Chen
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Lpand Hpextensions of holomorphic functions from subvarieties of analytic polyhedra [PDF]
Pacific Journal of Mathematics, 1999 Let \(V\) be a regular subvariety of a non-degenerate analytic polyhedron \(\Omega\subset\mathbb{C}^n\). If \(V\) intersects \(\partial\Omega\) transversally in a certain sense, then each bounded holomorphic function on \(V\) has a bounded holomorphic extension to \(\Omega\).
Kenzō Adachi +2 more
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Analytic Continuation of Arithmetic Holomorphic Functions on a Half Plane [PDF]
Tokyo Journal of Mathematics, 1979 Kunio Yoshino
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Numerical analytic continuation of holomorphic functions in $C^n$ [PDF]
RAIRO. Analyse numérique, 1977 Harold D. Meyer
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Holomorphically Closed Algebras of Analytic Functions.
MATHEMATICA SCANDINAVICA, 1974 Robert George Blumenthal
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The Analyticity Properties of a Class of Holomorphic Matrix Functions
Pure Mathematics, 2016 超 付
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On the radius of spatial analyticity for the higher order nonlinear dispersive equation
Mathematica Bohemica, 2021 In this work, using bilinear estimates in Bourgain type spaces, we prove the local existence of a solution to a higher order nonlinear dispersive equation on the line for analytic initial data u0.
A. Boukarou, K. Guerbati, Khaled Zennir
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Analyticity of Nekrasov Partition Functions [PDF]
Communications in Mathematical Physics, 2017 We prove that the K-theoretic Nekrasov instanton partition functions have a positive radius of convergence in the instanton counting parameter and are holomorphic functions of the Coulomb parameters in a suitable domain.
G. Felder, Martin Müller-Lennert
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