Results 141 to 150 of about 39,291 (187)

I Elementary local properties of holomorphic functions of several complex variables

, 2011
In this chapter we study the local properties of holomorphic functions of several complex variables which can be deduced directly from the classical theory of holomorphic functions in one complex variable. The basis for our work is a Cauchy formula for polydiscs which generalises the classical Cauchy formula. Most of the theorems proved in this chapter
C. Laurent-Thiébaut
semanticscholar   +3 more sources

Construction of solutions to PDEs using holomorphic functions of several variables

Electronic Journal of Differential Equations
The work develops Humbert's method of solving PDEs. It applies method for constructing solutions of the three-dimensional  Laplace, Helmholtz, and Poisson equations in the form of components  of holomorphic functions of several variables (complex and ...
Vitalii Shpakivskyi
semanticscholar   +1 more source

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;
openaire   +2 more sources

On Grothendieck-type duality for spaces of holomorphic functions of several variables

Sbornik: Mathematics
We describe the strong dual space $({\mathcal O} (D))^*$ of the space ${\mathcal O} (D)$ of holomorphic functions of several complex variables in a bounded domain $D$ with Lipschitz boundary and connected complement (as usual, ${\mathcal O} (D)$ is ...
Yulia Alexandrovna Khoryakova, A. Shlapunov   +1 more
semanticscholar   +1 more source

Holomorphic Functions of Finite Order in Several Complex Variables

, 2007
Wilhelm Stoll
openalex   +2 more sources

Approximation by holomorphic functions of several complex variables

, 2020
S. Krantz, Baili Min
semanticscholar   +1 more source

Boundary Behavior of Holomorphic Functions of Several Complex Variables.

, 1972
E. Stein
semanticscholar   +1 more source

Composition and functions of bacterial membrane vesicles

Nature Reviews Microbiology, 2023
Masanori Toyofuku, Stefan Schild, Maria Kaparakis-Liaskos   +2 more
exaly  

Analytic functions of several complex variables

, 1965
N. Bogolubov, A. Logunov, A. Oksak, I. Todorov, G. Gould   +4 more
semanticscholar   +1 more source

Gene regulation by long non-coding RNAs and its biological functions

Nature Reviews Molecular Cell Biology, 2020
Luisa Statello, Ling-Ling Chen, Maite Huarte   +2 more
exaly