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Title
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Factorization of Laplace operators on higher spin representations
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Author
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Abstract
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| This paper deals with the problem of factorizing integer powers of the Laplace operator acting on functions taking values in higher spin representations. This is a far-reaching generalization of the well-known fact that the square of the Dirac operator is equal to the Laplace operator. Using algebraic properties of projections of Stein-Weiss gradients, i.e. generalized Rarita-Schwinger and twistor operators, we give a sharp upper bound on the order of polyharmonicity for functions with values in a given representation with half-integral highest weight. |
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Language
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English
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Source (journal)
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Complex analysis and operator theory
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Publication
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2012
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ISSN
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1661-8254
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Volume/pages
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6
:5
(2012)
, p. 1011-1023
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ISI
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000310225000003
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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