Some Sharp L^2 Inequalities for Dirac Type Operators

We use the spectra of Dirac type operators on the sphere $S^n$ to produce sharp $L^2$ inequalities on the sphere. These operators include the Dirac operator on $S^n$, the conformal Laplacian and Paenitz operator. We use the Cayley transform, or stereographic projection, to obtain similar inequalitie...

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Bibliographic Details
Main Authors: Alexander Balinsky, John Ryan
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-11-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://www.emis.de/journals/SIGMA/2007/114/