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Integration on Noncompact Supermanifolds

Mitchell J. Rothstein
Transactions of the American Mathematical Society
Vol. 299, No. 1 (Jan., 1987), pp. 387-396
DOI: 10.2307/2000500
Stable URL: http://www.jstor.org/stable/2000500
Page Count: 10
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Integration on Noncompact Supermanifolds
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Abstract

We note that the Berezin integral, which is ill-defined for noncompact supermanifolds, is a distribution with support on the underlying manifold. This leads to the discovery of correction terms in the Berezinian transformation law and thereby eliminates the boundary ambiguities.

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