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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National Academy of Science of Ukraine
2007-11-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://www.emis.de/journals/SIGMA/2007/114/ |
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doaj-856fad339aef4064a302a748ac9eb72c2020-11-24T23:08:15ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592007-11-013114Some Sharp L^2 Inequalities for Dirac Type OperatorsAlexander BalinskyJohn RyanWe 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 inequalities for powers of the Dirac operator and their inverses in ${mathbb R}^n$. http://www.emis.de/journals/SIGMA/2007/114/Dirac operatorClifford algebraconformal LaplacianPaenitz operator |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Alexander Balinsky John Ryan |
| spellingShingle |
Alexander Balinsky John Ryan Some Sharp L^2 Inequalities for Dirac Type Operators Symmetry, Integrability and Geometry: Methods and Applications Dirac operator Clifford algebra conformal Laplacian Paenitz operator |
| author_facet |
Alexander Balinsky John Ryan |
| author_sort |
Alexander Balinsky |
| title |
Some Sharp L^2 Inequalities for Dirac Type Operators |
| title_short |
Some Sharp L^2 Inequalities for Dirac Type Operators |
| title_full |
Some Sharp L^2 Inequalities for Dirac Type Operators |
| title_fullStr |
Some Sharp L^2 Inequalities for Dirac Type Operators |
| title_full_unstemmed |
Some Sharp L^2 Inequalities for Dirac Type Operators |
| title_sort |
some sharp l^2 inequalities for dirac type operators |
| publisher |
National Academy of Science of Ukraine |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| issn |
1815-0659 |
| publishDate |
2007-11-01 |
| description |
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 inequalities for powers of the Dirac operator and their inverses in ${mathbb R}^n$. |
| topic |
Dirac operator Clifford algebra conformal Laplacian Paenitz operator |
| url |
http://www.emis.de/journals/SIGMA/2007/114/ |
| work_keys_str_mv |
AT alexanderbalinsky somesharpl2inequalitiesfordiractypeoperators AT johnryan somesharpl2inequalitiesfordiractypeoperators |
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1725615243001856000 |