Slice regular functions of several octonionic variables
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DOI: 10.1002/mma.6344
Abstract: A slice theory of several octonionic variables is introduced in the article as a generalization of the holomorphic theory of several complex variables. Our new trick is to focus our attentions on some subset of… read more here.
Keywords: functions several; several octonionic; regular functions; octonionic variables ... See more keywords
Extension of the Bessmertnyĭ Realization Theorem for Rational Functions of Several Complex Variables
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DOI: 10.1007/s11785-021-01150-2
Abstract: We prove a realization theorem for rational functions of several complex variables which extends the main theorem of M. Bessmertny̆ı, “On realizations of rational matrix functions of several complex variables," in Vol. 134 of Oper.… read more here.
Keywords: several complex; complex variables; functions several; theorem rational ... See more keywords
Sampling of entire functions of several complex variables on a lattice and multivariate Gabor frames
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DOI: 10.1080/17476933.2019.1681415
Abstract: ABSTRACT We give a general construction of entire functions in d complex variables that vanish on a lattice of the form for an invertible complex-valued matrix. As an application, we exhibit a class of lattices… read more here.
Keywords: sampling entire; several complex; complex variables; functions several ... See more keywords
Partial and Local Argument Properties of Holomorphic and Meromorphic Complex Functions in Several Variables
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DOI: 10.1155/2019/7971495
Abstract: The study describes a general argument analysis technique for holomorphic and meromorphic complex functions in several variables, or simply n-variable complex functions with n≥2. Argument analytic relationships for n-variable complex functions with significance similar to… read more here.
Keywords: holomorphic meromorphic; argument; meromorphic complex; functions several ... See more keywords
Vector-Valued Entire Functions of Several Variables: Some Local Properties
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DOI: 10.3390/axioms11010031
Abstract: The present paper is devoted to the properties of entire vector-valued functions of bounded L-index in join variables, where L:Cn→R+n is a positive continuous function. For vector-valued functions from this class we prove some propositions… read more here.
Keywords: entire functions; vector valued; several variables; valued entire ... See more keywords