Some Sharp L2 Inequalities for Dirac Type Operators

Balinsky, Alexander ORCID: https://orcid.org/0000-0002-8151-4462 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

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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:	21 Oct 2022 09:36
URI:	https://orca.cardiff.ac.uk/id/eprint/37051

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