An embedding of Schwartz distributions in the algebra of asymptotic functions

We present a solution of the problem of multiplication of Schwartz distributions by embedding the space of distributions into a differential algebra of generalized functions, called in the paper asymptotic function, similar to but different from J. F Colombeau's algebras of new generalized func...

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Bibliographic Details
Main Authors: Michael Oberguggenberger, Todor Todorov
Format: Article
Language:English
Published: Wiley 1998-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171298000593
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Summary:We present a solution of the problem of multiplication of Schwartz distributions by embedding the space of distributions into a differential algebra of generalized functions, called in the paper asymptotic function, similar to but different from J. F Colombeau's algebras of new generalized functions.
ISSN:0161-1712
1687-0425