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
The Hadamard multiplication theorem in several complex variables
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DOI: 10.1080/17476933.2016.1197918
Abstract: The aim of this paper is to generalize the Hadamard multiplication theorem and the notion of the -product of domains to the case of several complex variables. We obtain a result of this kind in… read more here.
Keywords: several complex; hadamard multiplication; complex variables; theorem several ... 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
q-Differences theorems for meromorphic maps of several complex variables intersecting hypersurfaces
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DOI: 10.1142/s1793557121500406
Abstract: In this paper, we show some q-difference analogues of the second main theorems for algebraically nondegenerate meromorphic mappings over the field ϕq0 of zero-order meromorphic functions in ℂm sati... read more here.
Keywords: differences theorems; several complex; theorems meromorphic; complex variables ... See more keywords