Regularization of distributions

Regularization of distributions

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 appl...

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Bibliographic Details
Main Author: Ricardo Estrada
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Generalized function
harmonic function
analytic function.
Online Access:http://dx.doi.org/10.1155/S016117129800088X
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Summary: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.
ISSN:0161-1712
1687-0425

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