An elementary introduction of Colombeau's generalized function theory - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T21:28:30Z http://mathoverflow.net/feeds/question/48427 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/48427/an-elementary-introduction-of-colombeaus-generalized-function-theory An elementary introduction of Colombeau's generalized function theory Anand 2010-12-06T10:10:42Z 2010-12-06T16:05:03Z <p>Hello, I am wondering whether anyone know an elementary reference for Colombeau's theory on the multiplication of distributions? I encountered the problem of the square of Delta function. I need a rigorous treatment of this object. Through my previous question, I notice that Colombeau's theory might help. Thank you in advance for any points. :-)</p> http://mathoverflow.net/questions/48427/an-elementary-introduction-of-colombeaus-generalized-function-theory/48429#48429 Answer by Tim van Beek for An elementary introduction of Colombeau's generalized function theory Tim van Beek 2010-12-06T11:20:41Z 2010-12-06T14:18:47Z <p>Sorry for repeating myself, but as you can see on the nLab <a href="http://nlab.mathforge.org/nlab/show/distribution#colombeau_10" rel="nofollow">here</a>, Colombeau himself has written an elementary introduction to his theory, mainly for people who are interested in applications: </p> <p>Jean François Colombeau: "Multiplication of distributions. A tool in mathematics, numerical engineering and theoretical physics."</p> <p>See this <a href="http://www.zentralblatt-math.org/zmath/en/advanced/?q=an:00108533&amp;type=pdf&amp;format=complete" rel="nofollow">review</a> in the Zentralblatt Mathematik. This will also give you a hint if this approach is suitable to your problem (BTW: what is the application you are thinking about?).</p>