Laguerre Calculus and Its Applications on the Heisenberg Group (AMS/IP STUDIES IN ADVANCED MATHEMATICS)

An introduction for graduate students whose background knowledge includes only one year of complex analysis. It discusses the main ideas of the Calder=n-Zygmund-Stein school of harmonic analysis as well as some less conventional problems of harmonic and complex analysis. In particular, it covers the Morera and Pompeiu problems for the Heisenberg group, which relates to questions in optics, tomography, and engineering. The text grew out of graduate courses and seminars held at the U. of Maryland, U. of Toronto, Georgetown U., and the U. of Georgia. Annotation c. Book News, Inc., Portland, OR (booknews.com)