Regularization of distributions

Ricardo Estrada

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-12

Abstract:

We give a simple necessary and sufficient condition for the existence of distributional regularizations. Our results apply to functions and distributions defined in the complement of a point, in one or several variables. We also consider functions defined in the complement of a hypersurface. We apply these results to the existence of distributional boundary values of harmonic and analytic functions.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:152412

DOI: 10.1155/S016117129800088X

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