In this thesis I've explored the theory of quaternionic slice regular functions. More precisely I've studied some rigidity properties, some differential issues and an application in complex differential geometry. This application concerns the constructions and classifications of orthogonal complex structures on open domains of the four dimensional euclidean space
We study global properties of quaternionic slice regular functions (also called s-regular) defined o...
In the literature on slice analysis in the hypercomplex setting, there are two main approaches to de...
1An interesting extension of the Argument Principle is obtained for slice regular functions.nonemixe...
The theory of slice regular functions over the quaternions, introduced by Gentili and Struppa in 200...
AbstractIn this paper we prove a new Representation Formula for slice regular functions, which shows...
Abstract. In this paper we prove a new Representation Formula for slice regular functions, which sho...
The theory of slice-regular functions of a quaternion variable is applied to the study of orthogonal...
The recent definition of slice regular function of several quaternionic variables suggests a new not...
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepe...
This book presents the extensions to the quaternionic setting of some of the main approximation resu...
In this paper, we prove some splitting results for holomorphic functions of a complex variable and f...
In this note we prove the Bieberbach conjecture for some classes of quaternionic functions, includi...
We study global properties of quaternionic slice regular functions (also called s-regular) defined o...
In the literature on slice analysis in the hypercomplex setting, there are two main approaches to de...
1An interesting extension of the Argument Principle is obtained for slice regular functions.nonemixe...
The theory of slice regular functions over the quaternions, introduced by Gentili and Struppa in 200...
AbstractIn this paper we prove a new Representation Formula for slice regular functions, which shows...
Abstract. In this paper we prove a new Representation Formula for slice regular functions, which sho...
The theory of slice-regular functions of a quaternion variable is applied to the study of orthogonal...
The recent definition of slice regular function of several quaternionic variables suggests a new not...
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepe...
This book presents the extensions to the quaternionic setting of some of the main approximation resu...
In this paper, we prove some splitting results for holomorphic functions of a complex variable and f...
In this note we prove the Bieberbach conjecture for some classes of quaternionic functions, includi...
We study global properties of quaternionic slice regular functions (also called s-regular) defined o...
In the literature on slice analysis in the hypercomplex setting, there are two main approaches to de...
1An interesting extension of the Argument Principle is obtained for slice regular functions.nonemixe...