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Introduction to Complex Analysis in Several Variables
This book gives a comprehensive introduction to complex analysis in several variables. While it focusses on a number of topics in complex analysis...
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Random polynomials in several complex variables
We generalize some previous results on random polynomials in several complex variables. A standard setting is to consider random polynomials
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Gaussian RBF kernels via Fock spaces: quaternionic and several complex variables settings
In this paper, we study two extensions of the complex-valued Gaussian radial basis function (RBF) kernel and discuss their connections with Fock...
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Applications to Analysis in Several Complex Variables
In this chapter we shall present a multitude of applications of the body of results developed so far in the area of Geometric Harmonic Analysis to...
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A refinement of the Schwarz-Pick estimates and the Carathéodory metric in several complex variables
In this article, we first establish an asymptotically sharp result on the higher order Fréchet derivatives for bounded holomorphic map**s
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Elementary Theory of Several Complex Variables
In this chapter we study the n-dimensional complex vector space...
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Several Variables
If the spectrum of a linear operator or algebra element is a subset of the complex numbers, then we may expect the spectrum of a pair of operators be...
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Problem of Generators in a Single Ring of Entire Functions of Several Complex Variables
AbstractIn this paper we consider the ring of entire functions of several first-order complex variables that have a minimal type in a cone. A...
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Characteristic Polynomial in Several Variables
For a square matrix \(A\in M_k({\mathbb C})\) , its characteristic...
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The General Theory of Superoscillations and Supershifts in Several Variables
In this paper we describe a general method to generate superoscillatory functions of several variables starting from a superoscillating sequence of...
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Christoffel–Darboux Kernels in Several Real Variables
The Christoffel–Darboux kernels for orthogonal polynomials in several real variables are investigated within the context of the three-term relation...
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New Subclasses of Univalent Map**s in Several Complex Variables: Extension Operators and Applications
In this paper we define new subclasses of univalent map**s in the case of several complex variables. We will focus our attention on a particular...
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Normal Families of Meromorphic Functions in Several Variables
We extend the well-known Gu’s normality criterion for meromorphic functions of one complex variable to the case of several complex variables. Let
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On solutions for several systems of complex nonlinear partial differential equations with two variables
This article is devoted to describe the entire solutions of several systems of the first order nonlinear partial differential equations. By using the...
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On superoscillations and supershifts in several variables
The aim of this paper is to study a class of superoscillatory functions in several variables, removing some restrictions on the functions that we...
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Slice regular functions in several variables
In this paper, we lay the foundations of the theory of slice regular functions in several (non-commuting) variables ranging in any real alternative
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Almansi-Type Decomposition for Slice Regular Functions of Several Quaternionic Variables
In this paper we propose an Almansi-type decomposition for slice regular functions of several quaternionic variables. Our method yields
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