Add to ORKGAbstract. A modified Cauchy integral formula is used to show that each monogenic function f defined on a sector domain and satisfying ‖f(x) ‖ 6 C‖x‖−n+1 can be expressed as f = f1+f2. Here f1 is monogenic on the sector domain and monogenically extends to upper half space, while f2 monogeni-cally extends to lower half space. Moreover, ‖fj(x) ‖ 6 C‖x‖−n+1 on these extended domains, for j = 1 or 2. Similar decompositions are obtained over more general unbounded domains, and for more general types of monogenic functions
In this paper we consider three different methods for generating monogenic functions. The first one...
summary:Using the method of normalized systems of functions, we study one representation of real ana...
. A study is made of a functional calculus for a system of bounded linear operators acting on a Bana...
The Clifford-Cauchy integral formula has proven to be a corner stone of the monogenic function theor...
Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth fu...
Abstract. In this paper we offer a new definition of monogenicity for functions defined on R^{n+1} w...
This paper deals with axially and biaxial monogenic functionsthat are derived using two fundamental ...
In this chapter an introduction is given to Clifford analysis and the underlying Clifford algebras. ...
AbstractIn our previous paper (Rend. Circ. Mat. Palermo 6 (1984), 259–269, we proved a general Laure...
AbstractEuclidean Clifford analysis is a higher dimensional function theory offering a refinement of...
A differential and integral criterion for monogenicity is presented within the framework of Clifford...
In this presentation we introduce several generalizations to Clifford analysis of the classical Four...
Hermitian Clifford analysis focusses on monogenic functions taking values in a complex Clifford alge...
It is shown that certain classes of special monogenic functions cannot be repre-sented by the basic ...
As is the case for the theory of holomorphic functions in the complex plane, the Cauchy Integral For...
In this paper we consider three different methods for generating monogenic functions. The first one...
summary:Using the method of normalized systems of functions, we study one representation of real ana...
. A study is made of a functional calculus for a system of bounded linear operators acting on a Bana...
The Clifford-Cauchy integral formula has proven to be a corner stone of the monogenic function theor...
Monogenic functions are basic to Clifford analysis. On Euclidean space they are defined as smooth fu...
Abstract. In this paper we offer a new definition of monogenicity for functions defined on R^{n+1} w...
This paper deals with axially and biaxial monogenic functionsthat are derived using two fundamental ...
In this chapter an introduction is given to Clifford analysis and the underlying Clifford algebras. ...
AbstractIn our previous paper (Rend. Circ. Mat. Palermo 6 (1984), 259–269, we proved a general Laure...
AbstractEuclidean Clifford analysis is a higher dimensional function theory offering a refinement of...
A differential and integral criterion for monogenicity is presented within the framework of Clifford...
In this presentation we introduce several generalizations to Clifford analysis of the classical Four...
Hermitian Clifford analysis focusses on monogenic functions taking values in a complex Clifford alge...
It is shown that certain classes of special monogenic functions cannot be repre-sented by the basic ...
As is the case for the theory of holomorphic functions in the complex plane, the Cauchy Integral For...
In this paper we consider three different methods for generating monogenic functions. The first one...
summary:Using the method of normalized systems of functions, we study one representation of real ana...
. A study is made of a functional calculus for a system of bounded linear operators acting on a Bana...