Results 141 to 150 of about 1,222,593 (185)

Uniform approximation by entire functions of several complex variables

open access: yesUniform approximation by entire functions of several complex variables
openaire   +1 more source

Composition Operators on Hilbert Spaces of Entire Functions of Several Variables

Integral Equations and Operator Theory, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Minh Luan Doan, Le Hai Khoi, Trieu Le
openaire   +2 more sources

ON REPRESENTING ENTIRE FUNCTIONS OF SEVERAL VARIABLES BY DIRICHLET SERIES

Mathematics of the USSR-Sbornik, 1972
Let be an entire function of two complex variables. Let us take the proximate order and then define positive numbers () so that , . Let us choose an integer 2$ SRC=http://ej.iop.org/images/0025-5734/18/4/A04/tex_sm_1862_img7.gif/> and form the numbers (; ). Let () be arranged these numbers in the order of decreasing modulus.
openaire   +2 more sources

A UNICITY THEOREM FOR ENTIRE FUNCTIONS OF SEVERAL COMPLEX VARIABLES

Chinese Annals of Mathematics, 2004
The author proves the following result: Let \(f\) and \(g\) be two nonconstant entire functions on \(\mathbb{C}^n\), and let \(k\) be a positive integer. If \(f\) and \(g\) share \(0\) CM, that is, \(f\) and \(g\) have the same zeros counting multiplicities, \(D^kf\) and \(D^kg\) share \(1\) CM, and if \(\delta(0,f)>1/2\), then \(f=g\).
openaire   +2 more sources

On periodic decomposition of entire functions of several variables

Aequationes mathematicae, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

ON SUFFICIENT SETS IN SPACES OF ENTIRE FUNCTIONS OF SEVERAL VARIABLES

Mathematics of the USSR-Sbornik, 1989
Let D be a convex bounded domain in \({\mathbb{C}}^ n\), \(n\geq 2\), \(0\in D\), and let \(D_ m\), \(m=1,2,...\), be a sequence of convex bounded domains such that \(\bar D_ m\subset D_{m+1}\) and \(\cup^{\infty}_{m=1}D_ m=D\). Put \(H_ m(z)= \max (Re :\) \(\lambda \in \bar D_ m)\) where \(= \sum^{n}_{k=1} \lambda_ kz_ k\), and \(P_ D=\{f\)-entire ...
openaire   +2 more sources

Interpolation and basicity: Several variables entire functions of exponential type

Journal of Contemporary Mathematical Analysis, 2007
The paper investigates the interpolation and basicity problem in Banach spaces of entire functions of exponential type in several variable. Some sufficient conditions for solvability of these problem and the explicit analytic form of the solutions are obtained.
M. A. Galdunts, S. G. Rafayelyan
openaire   +1 more source

Approximation and Interpolation by Entire Functions of Several Variables

Canadian Mathematical Bulletin, 2010
AbstractLet f : ℝn → ℝ be C∞ and let h: ℝn → ℝ be positive and continuous. For any unbounded nondecreasing sequence ﹛ck﹜ of nonnegative real numbers and for any sequence without accumulation points ﹛xm﹜ in ℝn, there exists an entire function g : ℂn → ℂ taking real values on ℝn such thatThis is a version for functions of several variables of the case n =
openaire   +1 more source

Home - About - Disclaimer - Privacy