From: israel@math.ubc.ca (Robert Israel) Newsgroups: sci.math Subject: Re: Multiplying distributions Date: 25 Nov 1998 18:37:11 GMT In article , gadde@sm.luth.se (Erland Gadde) writes: |> The product of two distributions K and L is in general not defined, |> and such a general definition can hardly be given if it should have |> reasonable properties. ... |> I wonder if there is any general definition, yielding nice properties, |> of which these two examples (and possibly others) are special cases. |> I mean a definition of the type: ... Look in Reed and Simon, Methods of Modern Mathematical Physics II: Fourier Analysis, Self-Adjointness, Academic Press 1975, section IX.10. Basically the idea is that (after localizing by multiplying by a test function of compact support) you want the convolution of the Fourier transforms to converge absolutely. Robert Israel israel@math.ubc.ca Department of Mathematics http://www.math.ubc.ca/~israel University of British Columbia Vancouver, BC, Canada V6T 1Z2