2016
DOI: 10.1007/s11785-016-0621-9
|View full text |Cite
|
Sign up to set email alerts
|

The Radial Algebra as an Abstract Framework for Orthogonal and Hermitian Clifford Analysis

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
3
2

Citation Types

0
24
0

Year Published

2017
2017
2021
2021

Publication Types

Select...
4
1

Relationship

4
1

Authors

Journals

citations
Cited by 6 publications
(24 citation statements)
references
References 7 publications
0
24
0
Order By: Relevance
“…Here we will only give an overview of those which are relevant in the current setting. For a more detailed account we refer the reader to [8,15].…”
Section: Definition 1 a Radial Algebra Representation Is An Algebra mentioning
confidence: 99%
See 3 more Smart Citations
“…Here we will only give an overview of those which are relevant in the current setting. For a more detailed account we refer the reader to [8,15].…”
Section: Definition 1 a Radial Algebra Representation Is An Algebra mentioning
confidence: 99%
“…In [8] the notion of a complex structure was introduced on the radial algebra framework; we recall its definition and main properties. Consider a bijective map J : S → J(S), producing a disjoint copy of the set of abstract vector variables S, i.e.…”
Section: Definition 1 a Radial Algebra Representation Is An Algebra mentioning
confidence: 99%
See 2 more Smart Citations
“…More recently, harmonic and Clifford analysis has been extended to superspace by introducing some important differential operators (such as Dirac and Laplace operators) and by studying special functions and orthogonal polynomials related to these operators, see eg, previous studies . The basics of Hermitian Clifford analysis in superspace were introduced in De Schepper et al following the notion of an abstract complex structure in the Hermitian radial algebra, developed in Sabadini and Sommen and De Schepper et al Some particular aspects related to the invariance properties with respect to underlying Lie groups and Lie algebras in this setting have been already studied, see eg, De Schepper et al…”
Section: Introductionmentioning
confidence: 99%