Modern analysts use a great variety of basic tools, many of which are common to analysts in several branches. I have tried, during a one semester graduate course in Princeton, to present some of those tools that I found useful in Potential theory, Probability theory and Harmonic analysis; they include parts of functional analysis, integration theory and general toRology, but I have avoided as much as possible, parts of these theories which, although elegant and interesting in themselves, do not have a large range of applications.
This book includes notes on this course, also on several lectures which have been given by participants of the course to provide applications and illustrations.