Results 51 to 60 of about 520 (182)
Semi-Bloch Functions in Several Complex Variables [PDF]
, 2015 Let M be an n-dimensional complex manifold. A holomorphic function f:M→C is said to be semi-Bloch if for every λ∈C the function (Formula presented.) is normal on M.
Carlsson, Linus, +13 more
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Topological properties of the Fréchet space of holomorphic functions of several complex variables
Mathematica Montisnigri, 2023 Let 𝑁p(𝐵n) (𝑝 > 1) be the Privalov class of holomorphic functions on the unit ball 𝐵n in the space of 𝑛-complex variables. The class 𝑁p(𝐵n) (𝑝 > 1), equipped with the topology given by a natural metric, becomes an 𝐹-algebra. In this paper, we shall introduce a Fréchet space Fp(𝐵n) (𝑝 > 1) of holomorphic functions on 𝐵n which contains 𝑁p(𝐵n ...
openaire +1 more source
Isotopies of complete minimal surfaces of finite total curvature
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Let M$M$ be a Riemann surface biholomorphic to an affine algebraic curve. We show that the inclusion of the space ℜNC∗(M,Cn)$\Re \mathrm{NC}_*(M,\mathbb {C}^n)$ of real parts of nonflat proper algebraic null immersions M→Cn$M\rightarrow \mathbb {C}^n$, n⩾3$n\geqslant 3$, into the space CMI∗(M,Rn)$\mathrm{CMI}_*(M,\mathbb {R}^n)$ of complete ...
Antonio Alarcón +2 more
wiley +1 more source
Analysis of several complex variables [PDF]
, 2002 One of the approaches to the study of functions of several complex variables is to use methods originating in real analysis. In this concise book, the author gives a lucid presentation of how these methods produce a variety of global existence theorems ...
Ohsawa, Takeo
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Definability of complex functions in o‐minimal structures
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract We prove that holomorphic continuations of functions in the classes an∗$\mathbf {an}^*$ and G$\mathcal {G}$ are definable in the o‐minimal structures Ran∗$\mathbb {R}_{\operatorname{an}^*}$ and RG$\mathbb {R}_{\mathcal {G}}$, respectively. More specifically, we give complex domains on which the holomorphic continuations are definable and show ...
Adele Padgett, Patrick Speissegger
wiley +1 more source
Bernstein–Walsh Type Theorems for Real Analytic Functions in Several Variables [PDF]
, 2010 The aim of this paper is to extend the classical maximal convergence theory of Bernstein and Walsh for holomorphic functions in the complex plane to real analytic functions in R^N.
Kraus, Christiane
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Mathematical Problems in Engineering, 2019 The study describes a general argument analysis technique for holomorphic and meromorphic complex functions in several variables, or simply n‐variable complex functions with n ≥ 2. Argument analytic relationships for n‐variable complex functions with significance similar to the argument principle for one‐variable ones are retrieved partially and ...
Jun Zhou, Zhaoxia Duan
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Holomorphic synthesis of monogenic functions of several quaternionic variables [PDF]
, 1998 The system of differential equations for polymonogenic functions of several quaternionic variables is an analog of anti #partial deriv#-equation in complex analysis.
Muenster Univ. (Germany). Inst. fuer Angewandte Mathematik und Informatik +1 more
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Type II degenerations of K3 surfaces of degree 4
Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.Abstract We study Type II degenerations of K3 surfaces of degree 4 where the central fibre consists of two rational components glued along an elliptic curve. Such degenerations are called Tyurin degenerations. We construct explicit Tyurin degenerations corresponding to each of the 1‐dimensional boundary components of the Baily–Borel compactification of
James Matthew Jones
wiley +1 more source
Korean Conference on Several Complex Variables [PDF]
, 2015 This volume includes 28 chapters by authors who are leading researchers of the world describing many of the up-to-date aspects in the field of several complex variables (SCV).
Gaussier, Hervé +5 more
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