International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 3, Pages 417-428
doi:10.1155/S0161171298000593

An embedding of Schwartz distributions in the algebra of asymptotic functions

Michael Oberguggenberger1 and Todor Todorov2

 1Institut für Mathematik und Geometrie, Universität Innsbruck, Inssbruck A-6020, Austria
2Mathematics Department, California Polytechnic State University, San Luis Obispo 93407, California, USA
Received 28 October 1996; Revised 21 June 1997

Abstract

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.