Cardiff University | Prifysgol Caerdydd ORCA
Online Research @ Cardiff 
WelshClear Cookie - decide language by browser settings

Some Sharp L2 Inequalities for Dirac Type Operators

Balinsky, Alexander and Ryan, J. 2007. Some Sharp L2 Inequalities for Dirac Type Operators. Symmetry, Integrability and Geometry: Methods and Applications 3 , 114. 10.3842/SIGMA.2007.114

Full text not available from this repository.

Abstract

We use the spectra of Dirac type operators on the sphere Sn to produce sharp L2 inequalities on the sphere. These operators include the Dirac operator on Sn, the conformal Laplacian and Paenitz operator. We use the Cayley transform, or stereographic projection, to obtain similar inequalities for powers of the Dirac operator and their inverses in Rn.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: Dirac operator; Clifford algebra; conformal Laplacian; Paenitz operator
Additional Information: Contribution to the Proceedings of the 2007 Midwest Geometry Conference in honor of Thomas P. Branson
Publisher: Department of Applied Research, Institute of Mathematics of National Academy of Sciences of Ukraine
ISSN: 1815-0659
Last Modified: 04 Jun 2017 04:20
URI: http://orca.cf.ac.uk/id/eprint/37051

Citation Data

Cited 4 times in Google Scholar. View in Google Scholar

Cited 3 times in Scopus. View in Scopus. Powered By Scopus® Data

Actions (repository staff only)

Edit Item Edit Item