Results 11 to 20 of about 124,521 (238)
On the geometric means of entire functions of several complex variables [PDF]
Transactions of the American Mathematical Society, 1970 Let f(z, z.,) be an entire function of the n (? 2) complex variables Z1 ... . Zn, holomorphic for Izt I rt, t= 1 ... , n. We have considered the case of only two complex variables for simplicity. Recently many authors have defined the arithmetic means of the function lf(zl, z2)I and have investigated their properties.
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مجلة بغداد للعلوم, 2008 The study of properties of space of entire functions of several complex variables was initiated by Kamthan [4] using the topological properties of the space. We have introduced in this paper the sub-space of space of entire functions of several complex
Baghdad Science Journal
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Entire solutions for several complex partial differential-difference equations of Fermat type in ℂ2
Open Mathematics, 2021 By utilizing the Nevanlinna theory of meromorphic functions in several complex variables, we mainly investigate the existence and the forms of entire solutions for the partial differential-difference equation of Fermat type α∂f(z1,z2)∂z1+β∂f(z1,z2)∂z2m+f(
Gui Xian Min +3 more
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On a space of entire functions rapidly decreasing on Rn and its Fourier transform
Concrete Operators, 2015 A space of entire functions of several complex variables rapidly decreasing on Rn and such that their growth along iRn is majorized with the help of a family of weight functions is considered in this paper.
Musin Il’dar Kh.
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Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames [PDF]
Complex Variables and Elliptic Equations, 2019 We give a general construction of entire functions in $d$ complex variables that vanish on a lattice of the form $L = A (Z + i Z )^d$ for an invertible complex-valued matrix. As an application we exhibit a class of lattices of density >1 that fail to be a sampling set for the Bargmann-Fock space in $C ^2$.
Karlheinz Gröchenig, Yurii Lyubarskii
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On the Growth Order and Growth Type of Entire Functions of Several Complex Matrices
Journal of Function Spaces, 2020 In this paper, we establish an explicit relation between the growth of the maximum modulus and the Taylor coefficients of entire functions in several complex matrix variables (FSCMVs) in hyperspherical regions.
M. Abul-Ez +3 more
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International Journal of Mathematics and Mathematical Sciences, 1980 We show that any mean-periodic function f can be represented in terms of exponential-polynomial solutions of the same convolution equation f satisfies, i.e., u∗f=0(μ∈E′(ℝn)). This extends to n-variables the work of L.
Carlos A. Berenstein, B. A. Taylor
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Generalized Order and Best Approximation of Entire Function in 𝐿𝑝-Norm
International Journal of Mathematics and Mathematical Sciences, 2010 The aim of this paper is the characterization of the generalized growth of entire functions of several complex variables by means of the best polynomial approximation and interpolation on a compact 𝐾 with respect to the set Ω𝑟={𝑧∈𝐂𝑛;exp𝑉𝐾(𝑧)≤𝑟}, where 𝑉𝐾=
Mohammed Harfaoui
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Public space and the contemporary city. A narrative of places, time, relationships
Techne, 2020 The reconfiguration of the post-modern city promotes the public space as a place of excellence for material, social and sensorial exchange, restoring the primitive and noble taste of a sphere aimed at collective practice, an ideological model of ...
Emilio Faroldi
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Composition of entire function and analytic functions in the unit ball with a vanished gradient
Математичні СтудіїThe composition $H(z)=f(\Phi(z))$ is studied, where $f$ is an entire function of a single complex variable and $\Phi$ is an analytic function in the $n$-dimensional unit ball with a vanished gradient. We found conditions by the function $\Phi$ providing
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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