This book is essentially compiled from notes on lecturesgiven by the
author at Harvard University in a half-course on transform theory. It
was attended chiefly by seniors and first-year graduate students, and
only a basic knowledge of real and complex function theory was assumed.
The book is designed to touch on a variety of the most fundamental
aspects of the theory rather than to strive for encyclopedic
coverage of any part. We hope that it will be useful to a student who is
sampling various kinds of mathematics before settling on a direction
for his own research.