Results 261 to 270 of about 181,249 (295)

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 =
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SOME QUESTIONS ON THE DISTRIBUTION OF ZEROS OF ENTIRE FUNCTIONS OF SEVERAL VARIABLES

Mathematics of the USSR-Sbornik, 1972
In this article the idea of the ?-capacity of a set in Cn, the analog of the idea of capacity of a set in C1, is introduced. The basic result of the paper (Theorems 2 and 3) is the following: if the function f(z, w), where z Cn, and w C1, has only a finite number of zeros as a function of w for all z in some set of positive ?-capacity, then it is the
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Entire functions of several variables with a regular set of “flat” zeros

Siberian Mathematical Journal, 1991
The author considers the measure \(n_ A\) associated to the sequence \(A=\{a^{(k)}\}\), where we may have \(a^{(k)}=a^{(h)}\) for \(k\neq h\), the carrier of \(n_ A\) is \(A\) and \(n_ a(\{a^{(k)}\})\) represents the number of terms of the sequence \(A\) corresponding to the same point \(a^{(k)}\in\mathbb{C}^ n\). If \(Z_ f=\{z\in\mathbb{C}^ n: f(z)=0\}
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Problem of Generators in a Single Ring of Entire Functions of Several Complex Variables

Russian Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Entire functions of several variables with given behaviour at infinity

Izvestiya: Mathematics, 1996
This paper is concerned with the asymptotic behavior of plurisubharmonic functions in \(\mathbb{C}^n\) having polynomial growth and satisfying some smoothness conditions. The main result: Each of such a function can be asymptotically approximated by means of the logarithm of the modulus of an entire function outside of a set having finite Hausdorff ...
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On reducibility of zero sets of entire functions of several variables

Siberian Mathematical Journal, 1993
Let \(\Omega\) be a domain in \(\mathbb{C}^n\), \(n \geq 2\) and let \(m\) be a fixed natural number. The author defines, by an integral representation, the class of plurisubharmonic functions in \(\Omega\) which are \(m\)-logarithmic potentials. Based on this class and on the properties of the Radon transform the author further describes a class of ...
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Polynomiality criterion for entire functions of several complex variables

Mathematical Notes, 1999
The “radial” polynomiality criterion for entire functions of several complex variables is proved.
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Extensions of the class of entire functions of several variables and related topics

Siberian Mathematical Journal, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Characterization of continuous endomorphisms of the space of entire functions of a given order

Complex Variables and Elliptic Equations, 2021
Takashi Aoki, Ryuichi Ishimura, Daniele C Struppa   +2 more
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Entire Gaussian Functions: Probability of Zeros Absence

Axioms, 2023
Andriy Kuryliak, O B Skaskiv
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