Results 11 to 20 of about 124,022 (264)
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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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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Entire Functions of Several Variables: Analogs of Wiman’s Theorem
AxiomsThis article considers a class of entire functions of several complex variables that are bounded in the Cartesian product of some half-planes. Each such hyperplane is defined on the condition that the real part of the corresponding variable is less than ...
Oleh Skaskiv +3 more
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A note on the geometric means of entire functions of several complex variables [PDF]
Transactions of the American Mathematical Society, 1972 Let f ( z 1
P. K. Kamthan
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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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Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction
Axioms, 2019 In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
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Wiman’s type inequalities without exceptional sets for random entire functions of several variables [PDF]
Математичні Студії, 2012 In the paper we {consider entire} functions $ fcolonmathbb{C}^pomathbb{C}, pgeq 2, $ defined by power series$ f(z)=f(z_1,ldots,z_p)=sum_{|n|=0}^{+infty}a_n z^n, %pgeq2, $ $z^n=z_1^{n_1}cdotldotscdot z_p^{n_p},$$n=(n_1,ldots,n_p).$ For $r=(r_1,ldots,r_p ...
A. O. Kuryliak, O. B. Skaskiv
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Generalized Order and Best Approximation of Entire Function in 𝐿𝑝-Norm [PDF]
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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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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