Title
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On the fundamental solution for higher spin Dirac operators
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Author
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Abstract
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In this paper, we will determine the fundamental solution for the higher spin Dirac operator Q(lambda), which is a generalisation of the classical Rarita-Schwinger operator to more complicated irreducible (half-integer) representations for the spin group in in dimensions. This will allow us to generalise the Stokes theorem, the Cauchy-Pompeiu theorem and the Cauchy integral formula, which lie at the very heart of the function theory behind arbitrary elliptic higher spin operators. (c) 2013 Elsevier Inc. All rights reserved. |
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Language
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English
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Source (journal)
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Journal of mathematical analysis and applications. - New York, N.Y.
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Publication
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New York, N.Y.
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2013
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ISSN
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0022-247X
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DOI
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10.1016/J.JMAA.2013.04.030
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Volume/pages
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405
:2
(2013)
, p. 555-564
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ISI
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000320288500020
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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