2019
DOI: 10.1007/s00006-019-0953-4
|View full text |Cite
|
Sign up to set email alerts
|

Integral Formulas for Higher Order Conformally Invariant Fermionic Operators

Abstract: In this paper, we establish higher order Borel-Pompeiu formulas for conformally invariant fermionic operators in higher spin theory, which is the theory of functions on m-dimensional Euclidean space taking values in arbitrary irreducible representations of the Spin group. As applications, we provide higher order Cauchy's integral formulas for those fermionic operators. This paper continues the work of building up basic integral formulas for conformally invariant differential operators in higher spin theory.Mat… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
1
0

Year Published

2024
2024
2024
2024

Publication Types

Select...
2

Relationship

1
1

Authors

Journals

citations
Cited by 2 publications
(1 citation statement)
references
References 16 publications
(36 reference statements)
0
1
0
Order By: Relevance
“…More details about recent work in higher spin theory can also be found in previous literatures. [9][10][11][12][13][14][15][16][17][18] The theory of harmonic and monogenic functions has been applied in the theory of boundary value problems for decades, and complete harmonic (monogenic) polynomial systems play a significant role in these applications. Cacão et al 19 considered a complete polynomial system based on the so-called symmetric powers in the L 2 space of monogenic functions defined on the unit ball in R 3 .…”
mentioning
confidence: 99%
“…More details about recent work in higher spin theory can also be found in previous literatures. [9][10][11][12][13][14][15][16][17][18] The theory of harmonic and monogenic functions has been applied in the theory of boundary value problems for decades, and complete harmonic (monogenic) polynomial systems play a significant role in these applications. Cacão et al 19 considered a complete polynomial system based on the so-called symmetric powers in the L 2 space of monogenic functions defined on the unit ball in R 3 .…”
mentioning
confidence: 99%