INTRODUCTION TO HIDA DISTRIBUTIONS

“As a whole, the text is well written in a lucid style and is planned so nicely that the readers may grasp with ease the core part of white noise analysis and may also have a clear panoramic view of various aspects of its application, depending on their interest. This book is recommendable for potentially interested people or ambitious graduate students who are unfamiliar with generalized stochastic processes and infinite dimensional analysis. The prerequisite is only the basis of functional analysis and probability theory, and a little knowledge of stochastic processes and quantum theory are preferable. It is also suitable for physicists, applied physicists and physical engineers who are interested in applications to quantum physics, in particular, to Feynman path integrals. In the appendix, plenty of important formulae frequently appearing in white noise analysis are compactly summarized.”

“In general, the book may be interesting to young researchers who need to obtain a quick introductory overview of white noise analysis. Potential readers should be familiar with basic probability theory and functional analysis. Overall, the book provides a good survey in a compact form with simple explanations and simplified proofs.”