In this paper, we lay the foundations of the theory of slice regular functions in several variables ranging in any real alternative $^*$-algebra, including quaternions, octonions and Clifford algebras. This theory is an extension of the classical theory of holomorphic functions in several complex variables
As in [Entire slice regular functions, Springer, 2016] we define the ∗-exponential of a slice-regula...
In this article we investigate harmonicity, Laplacians, mean value theorems and related topics in th...
AbstractA promising theory of quaternion-valued functions of one quaternionic variable, now called s...
We expose the main results of a theory of slice regular functions on a real alternative algebra A, b...
In this paper we develop a theory of slice regular functions on a real alternative algebra $A$. Our ...
AbstractIn this paper we develop a theory of slice regular functions on a real alternative algebra A...
The aim of this paper is to extend the so called slice analysis to a general case in which the codom...
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepe...
We study global properties of quaternionic slice regular functions (also called extit{s-regular}) ...
The theory of slice regular functions over the quaternions, introduced by Gentili and Struppa in 200...
In the literature on slice analysis in the hypercomplex setting, there are two main approaches to de...
Abstract. In this paper we prove a new Representation Formula for slice regular functions, which sho...
AbstractIn this paper we prove a new Representation Formula for slice regular functions, which shows...
We introduce a family of Cauchy integral formulas for slice and slice regular functions on a real as...
As in [Entire slice regular functions, Springer, 2016] we define the ∗-exponential of a slice-regula...
In this article we investigate harmonicity, Laplacians, mean value theorems and related topics in th...
AbstractA promising theory of quaternion-valued functions of one quaternionic variable, now called s...
We expose the main results of a theory of slice regular functions on a real alternative algebra A, b...
In this paper we develop a theory of slice regular functions on a real alternative algebra $A$. Our ...
AbstractIn this paper we develop a theory of slice regular functions on a real alternative algebra A...
The aim of this paper is to extend the so called slice analysis to a general case in which the codom...
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepe...
We study global properties of quaternionic slice regular functions (also called extit{s-regular}) ...
The theory of slice regular functions over the quaternions, introduced by Gentili and Struppa in 200...
In the literature on slice analysis in the hypercomplex setting, there are two main approaches to de...
Abstract. In this paper we prove a new Representation Formula for slice regular functions, which sho...
AbstractIn this paper we prove a new Representation Formula for slice regular functions, which shows...
We introduce a family of Cauchy integral formulas for slice and slice regular functions on a real as...
As in [Entire slice regular functions, Springer, 2016] we define the ∗-exponential of a slice-regula...
In this article we investigate harmonicity, Laplacians, mean value theorems and related topics in th...
AbstractA promising theory of quaternion-valued functions of one quaternionic variable, now called s...