Results 11 to 20 of about 998,953 (172)
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 CERTAIN SUB-SPACE OF X [PDF]
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 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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Growth Analysis of Composite Entire Functions of Several Complex Variables Based on Relative Order
International Journal of Scientific Research in Science, Engineering and Technology, 2020 <p>In this paper we introduce some new results depending on the comparative growth properties of composition of entire function of several complex variables using relative L^*-order, Relative L^*-lower order and L≡L(r_1,r_2,r_3,……..,r_n) is a slowly changing functions.
Balram Prajapati, Anupama Rastogi
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Theorems of Picard type for entire functions of several complex variables
Kodai Mathematical Journal, 2003 The author gives an extension of the little Picard theorem for entire functions of several complex variables under conditions on a certain kind of derivative. Let \(f\) be a holomorphic function on \(\mathbb{C}^n\) and \(z= (z_1,\dots, z_n)\) be the natural coordinate system in \(\mathbb{C}^n\).
Jin Lu
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jnanabha, 2023 Biswas [2] introduced the idea of (p; q)th-relative Gol'dberg order and (p; q)th-relative Gol'dberg type of an entire function of several complex variables.
Gyan Prakash Rathore +2 more
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On the convergence classes for entire functions of several complex variables
Matematychni Studii, 2016 O. Mulyava, M. Sheremeta
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Uniform approximation by entire functions of several complex variables [PDF]
, 1982 SAKAI, AKIRA
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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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