Results 1 to 10 of about 11,045 (223)
Aspects of univalence in holographic axion models [PDF]
Journal of High Energy Physics, 2022 Univalent functions are complex, analytic (holomorphic) and injective functions that have been widely discussed in complex analysis. It was recently proposed that the stringent constraints that univalence imposes on the growth of functions combined with ...
Matteo Baggioli +3 more
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On properties of h-differentiable functions
Журнал Белорусского государственного университета: Математика, информатика, 2021 Research in the theory of functions of an h-complex variable is of interest in connection with existing applications in non-Euclidean geometry, theoretical mechanics, etc.
Vladislav A. Pavlovsky, Igor L. Vasiliev
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On some properties of p-holomorphic and p-analytic function
Proceedings of the National Academy of Sciences of Belarus. Physics and Mathematics Series, 2021 In this article the relationship between the conditions of p-differentiability, p-holomorphycity, and the existence of the derivative of a function of a p-complex variable is considered. The general form of a p-holomorphic function is found. The sufficient conditions for p-analyticity and local invertibility are obtained.
I. L. Vassilyev, V. V. Dovgodilin
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Extension of holomorphic functions through a hypersurface by tangent analytic discs [PDF]
Hokkaido Mathematical Journal, 2003 Let \(\Omega\) be a domain in \(\mathbb{C}^n\) with boundary \(M\), and \(A\) an analytic disc attached to \(\overline\Omega\) and not to \(M\), i.e., \(\partial A\subset\overline\Omega\) but \(\partial A\not\subset M\). Assume \(A\) is tangent to \(M\) at a point \(z^0\in\partial A\cap M\). The author proves that if \(B\) is a ball with center \(z^0\)
Giuseppe Zampieri
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Extension of holomorphic functions and cohomology classes from non\n 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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Analytic continuation of holomorphic functions with values in a locally convex space [PDF]
Proceedings of the American Mathematical Society, 1969 Horvath [3] has announced a result generalizing the result of Gelfand and Shilov [2] on analytic continuation of holomorphic functions with values in a locally convex space. In this paper we shall present a generalization of these results which permits one to prove the existence of strong holomorphic extensions from the existence of weak or weak ...
Witold M. Bogdanowicz
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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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Holomorphic extension of continuous, weakly holomorphic functions on certain analytic varieties [PDF]
Nagoya Mathematical Journal, 1973 Let M, N be connected complex submanifolds of a neighborhood of the origin 0 ∈ Cd, the space of d complex variables, such that 0 ∈ M ∩ N. We shall suppose throughout that M ⊄ N and N ⊄ M in any neighborhood of 0. Let X = M ∪ N. X is an analytic subvariety with the irreducible branches M and N. Let Δ be a neighborhood of 0 in Cd.
Nozomu Mochizuki
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Analytic families of holomorphic iterated function systems [PDF]
Nonlinearity, 2008 30 pages, the title is changed.
Mario Roy +2 more
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Extension with growth estimates of holomorphic functions defined on\n singular analytic spaces [PDF]
, 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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