From: israel@math.ubc.ca (Robert Israel)
Subject: Re: almost periodic function
Date: 26 Apr 2001 20:17:44 GMT
Newsgroups: sci.math

In article <9c61ti$891$1@smilodon.ecp.fr>, Michaël <ndjingm3@cti.ecp.fr> wrote:
>I am looking for some informations about this theory. Could you tell me
>what's their definition, their interest and their applications in physics ?

A function on a locally compact abelian group is almost periodic if it is
a uniform limit of trigonometric polynomials.  One reason they might be 
interesting for physics is that under certain conditions, stable solutions
of almost periodic differential equations are almost periodic. 

Robert Israel                                israel@math.ubc.ca
Department of Mathematics        http://www.math.ubc.ca/~israel 
University of British Columbia            
Vancouver, BC, Canada V6T 1Z2