Result: Arbitrary complex powers of the Dirac operator on the hyperbolic unit ball

Title:
Arbitrary complex powers of the Dirac operator on the hyperbolic unit ball
Authors:
Eelbode, D.
Source:
Annales Fennici Mathematici; Vol. 29 No. 2 (2004): Volume 29, 2004; 367-381
Annales Fennici Mathematici; Vol 29 Nro 2 (2004): Volume 29, 2004; 367-381
Publisher Information:
The Finnish Mathematical Society, 2004.
Publication Year:
2004
Subject Terms:
Functions of hypercomplex variables and generalized variables, hyperbolic unit ball, Dirac operator, Gegenbauer function, Spherical harmonics, Operations with distributions and generalized functions
Document Type:
Academic journal Article
File Description:
application/pdf; application/xml
Language:
English
Access URL:
https://afm.journal.fi/article/view/135112
https://zbmath.org/2166119
Rights:
CC BY
Accession Number:
edsair.dedup.wf.002..558a694c83b2faa5ccbdb30bb944b9d8
Database:
OpenAIRE

Further Information

In this paper a definition for arbitrary complex powers of the Dirac operator on the \(m\)-dimensional hyperbolic unit ball is given and with the aid of Riesz's distributions a fundamental solution for these operators is determined. This fundamental solution is expressed in terms of Gegenbauer functions of the second kind.