LET US USE WHITE NOISE

Why should we use white noise analysis? Well, one reason of course is that it fills that earlier gap in the tool kit. As Hida would put it, white noise provides us with a useful set of independent coordinates, parametrized by ",time",. And there is a feature which makes white noise analysis extremely user-friendly. Typically the physicist &mdash, and not only he &mdash, sits there with some heuristic ansatz, like e.g. the famous Feynman ",integral",, wondering whether and how this might make sense mathematically. In many cases the characterization theorem of white noise analysis provides the user with a sweet and easy answer. Feynman',s ",integral", can now be understood, the ",It',s all in the vacuum", ansatz of Haag and Coester is now making sense via Dirichlet forms, and so on in many fields of application. There is mathematical finance, there have been applications in biology, and engineering, many more than we could collect in the present volume.Finally, there is one extra benefit