Results 11 to 20 of about 210 (150)
Differentiable, holomorphic, and analytic functions on complex Φ-algebras
Journal of Mathematical Analysis and ApplicationsUsing the notion of order convergent nets, we develop an order-theoretic approach to differentiable functions on Archimedean complex $Φ$-algebras. Most notably, we improve the Cauchy-Hadamard formulas for universally complete complex vector lattices given by both authors in a previous paper in order to prove that analytic functions are holomorphic in ...
Mark Roelands, Christopher Schwanke
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Extension of holomorphic functions and cohomology classes from non reduced analytic subvarieties [PDF]
, 2017 The goal of this survey is to describe some recent results concerning the L 2 extension of holomorphic sections or cohomology classes with values in vector bundles satisfying weak semi-positivity properties. The results presented here are generalized versions of the Ohsawa-Takegoshi extension theorem, and borrow many techniques from the long series of ...
Jean-Pierre Demailly
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Real-analytic submanifolds which are local uniqueness sets for holomorphic functions of 𝐶³ [PDF]
Transactions of the American Mathematical Society, 1983 The following problem is considered. Given a real-analytic two-dimensional submanifold, M M , of complex Euclidean three-space, are ambient holomorphic functions determined by their values on M ? M? For a large class of submanifolds a necessary and sufficient condition is found for M M
Gary A. Harris
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Extension with growth estimates of holomorphic functions defined on singular analytic spaces
, 2011 Let D be a strictly convex domain and X be a singular analytic subset of C^2 such that the intersection of X and D is non empty. We give conditions under which a function holomophic on the intersection of X and D can be extended holomorphically to D with growth estimates of BMO or L^q type.
William Alexandre, Emmanuel Mazzilli
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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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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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Extension of holomorphic functions defined on non reduced analytic subvarieties
, 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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Holomorphically Closed Algebras of Analytic Functions.
MATHEMATICA SCANDINAVICA, 1974 Robert George Blumenthal
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Applied Mathematical Modelling, 2014 © 2014 Elsevier Inc. Three 2-D steady Darcian flows in an aquifer with a subjacent confining layer of a non-constant slope or a bedding inconformity are studied by two models: a potential theory (conformal mappings, the inverse boundary-value problem method, and the theory of R-linear conjugation) and hydraulic approximation. First, flow over a corner,
A. R. Kacimov +3 more
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