New Definition of Products of Distributions

In this article we give a new definition of products of distributions. Thereby we understand the product δ^2 of Dirac's δreasonably. Further we obtain a new class of generalized functions, namely, a new class of continuous nonlinear distributions. Thus we found out new concrete examples of functions defined on an infinite dimensional locally convex space. 2000 Mathematics Subject Classification. Primary 46F20; Secondary 46F05, 46F10

公開日:2010年1月24日で登録したコンテンツは、国立情報学研究所において電子化したものです。