Results 141 to 150 of about 519 (182)

Chaos in Stochastic 2d Galerkin-Navier-Stokes. [PDF]

Commun Math Phys
Bedrossian J, Punshon-Smith S.
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Prime ideals in the algebra of holomorphic functions of several complex variables

Prime ideals in the algebra of holomorphic functions of several complex variables
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Embedding theorems for holomorphic functions of several complex variables

Journal of Applied Analysis, 2013
Summary: Many authors studied families \(\mathcal X_{\mathcal G}\) of complex valued functions, which are holomorphic in bounded complete \(n\)-circular domains \(\mathcal G \subset \mathbb C^n\) and fulfil some geometric conditions. The above functions were applied later to study families of locally biholomorphic mappings in \(\mathbb C^{n}\). In this
Renata Długosz
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Algebras of symmetric holomorphic functions of several complex variables

Revista Matematica Complutense, 2018
Let \(g:\Omega\longrightarrow\Omega'\) be a proper holomorphic mapping, where \(\Omega\subset\mathbb C^n\), \(\Omega'\subset\mathbb C^k\), \(k\geq n\). Given an algebra \(\mathcal B(U)\) of functions defined on a set \(U\subset\Omega\) (e.g., \(\mathcal P(K)\), \(\mathcal O(U)\), \(\mathcal A(U)\), \(\mathcal H^\infty(U)\)) the authors study properties
Richard M Aron, Javier Falco, Domingo Garcia   +2 more
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Boundary properties of holomorphic functions of several complex variables

Journal of Soviet Mathematics, 1976
G M Khenkin, E M Chirka
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Boundary behavior of holomorphic functions of several complex variables

Mathematical Notes of the Academy of Sciences of the USSR, 1986
The author generalizes for strictly pseudoconvex domains \(D\subset {\mathbb{C}}^ n\), \textit{W. Seidel}'s [Trans. Am. Math. Soc. 34, 1-21 (1932)] criterium of equality of the limit of two sequences of values \(f(a_ m)\), \(f(b_ m)\) \((m=1,2,...)\) of a bounded holomorphic function f defined on the unit disc \(U\subset {\mathbb{C}}\), when the ...
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Distortion Properties of Holomorphic Functions of Several Complex Variables

Mathematische Nachrichten, 1980
Let Q(D) be a class of functions q, q(0) = 0, |q(z)| < 1 holomorphic in the Reinhardt domain D ⊂ Cn, a and b — arbitrary fixed numbers satisfying the condition — 1 ≤ b < a ≤ 1. 𝔭(a, b; D) — the class of functions p such that p ϵ 𝔭(a, b; D) iff for some q ϵ Q(D) and every z ϵ D. S*(a, b; D) — the class of functions f such that f ϵ S*(a, g;
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HOLOMORPHIC FUNCTIONS OF SEVERAL COMPLEX VARIABLES WITH NONNEGATIVE REAL PART. TRACES OF HOLOMORPHIC AND PLURIHARMONIC FUNCTIONS ON THE ŠILOV BOUNDARY

Mathematics of the USSR-Sbornik, 1976
For a certain class of domains, conditions are given which a continuous function on the Silov boundary of a domain must satisfy in order that there exist a holomorphic (pluriharmonic) function in , continuous on and such that . Bibliography: 24 titles.
Ajzenberg, L. A., Dautov, S. A.
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k-holomorphic functions in spaces of several complex variables

Complex Variables and Elliptic Equations, 2019
In this paper, we define k-holomorphic functions in Cn and study their properties. We obtain some conclusions parallel to the properties of holomorphic functions, such as Cauchy integral theorem, C...
Yuying Qiao, Yanyan Cui, Zunfeng Li, Liping Wang   +3 more
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A boundary uniqueness theorem for holomorphic functions of several complex variables

Mathematical Notes of the Academy of Sciences of the USSR, 1974
If D ⊂ Cn is a region with a smooth boundary and M ⊂ ∂D is a smooth manifold such that for some point p ∈ M the complex linear hull of the tangent plane Tp(M) coincides with Cn, then for each functionf e A(D) the conditionf¦M=0 implies thatf=0 in D.
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