AbstractIn this paper we develop a theory of slice regular functions on a real alternative algebra A. Our approach is based on a well-known Fueter's construction. Two recent function theories can be included in our general theory: the one of slice regular functions of a quaternionic or octonionic variable and the theory of slice monogenic functions of a Clifford variable. Our approach permits to extend the range of these function theories and to obtain new results. In particular, we get a strong form of the fundamental theorem of algebra for an ample class of polynomials with coefficients in A and we prove a Cauchy integral formula for slice functions of class C1
AbstractIn this paper we prove a new Representation Formula for slice regular functions, which shows...
In this paper we study the additive splitting associated to the quaternionic Cauchy transform define...
Abstract. In this paper we prove a new Representation Formula for slice regular functions, which sho...
In this paper we develop a theory of slice regular functions on a real alternative algebra $A$. Our ...
We expose the main results of a theory of slice regular functions on a real alternative algebra A, b...
In this paper, we lay the foundations of the theory of slice regular functions in several variables ...
We introduce a family of Cauchy integral formulas for slice and slice regular functions on a real as...
We prove a Cauchy-type integral formula for slice-regular functions where the integration is perform...
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepe...
The aim of this paper is to extend the so called slice analysis to a general case in which the codom...
The theory of slice regular functions over the quaternions, introduced by Gentili and Struppa in 200...
We study two types of series over a real alternative $^*$-algebra $A$. The first type are series of...
We present an Almansi-type decomposition for polynomials with Clifford coefficients, and more genera...
The aim of this paper is to provide and prove the most general Cauchy integral formula for slice reg...
In this paper, we prove that slice polyanalytic functions on quaternions can be considered as soluti...
AbstractIn this paper we prove a new Representation Formula for slice regular functions, which shows...
In this paper we study the additive splitting associated to the quaternionic Cauchy transform define...
Abstract. In this paper we prove a new Representation Formula for slice regular functions, which sho...
In this paper we develop a theory of slice regular functions on a real alternative algebra $A$. Our ...
We expose the main results of a theory of slice regular functions on a real alternative algebra A, b...
In this paper, we lay the foundations of the theory of slice regular functions in several variables ...
We introduce a family of Cauchy integral formulas for slice and slice regular functions on a real as...
We prove a Cauchy-type integral formula for slice-regular functions where the integration is perform...
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepe...
The aim of this paper is to extend the so called slice analysis to a general case in which the codom...
The theory of slice regular functions over the quaternions, introduced by Gentili and Struppa in 200...
We study two types of series over a real alternative $^*$-algebra $A$. The first type are series of...
We present an Almansi-type decomposition for polynomials with Clifford coefficients, and more genera...
The aim of this paper is to provide and prove the most general Cauchy integral formula for slice reg...
In this paper, we prove that slice polyanalytic functions on quaternions can be considered as soluti...
AbstractIn this paper we prove a new Representation Formula for slice regular functions, which shows...
In this paper we study the additive splitting associated to the quaternionic Cauchy transform define...
Abstract. In this paper we prove a new Representation Formula for slice regular functions, which sho...