A Course in Abstract Harmonic Analysis

The second edition of this book includes research advancements from the past two decades and additional topics on abstract harmonic analysis. A brief review of Banach algebra theory, Abelian groups, the Peter-Weyl theorem, and spectral theory is followed by basic facts concerning locally compact groups, Haar measure, and unitary representations. The revision also covers modern topics such as representation theory, Frobenius reciprocity, and the Plancherel theorem. Both the first edition and this revision serve as entrees to advanced mathematics.

Gerald B. Folland received his Ph.D in mathematics from Princeton University, New Jersey, USA in 1971. After two years at the Courant Institute of Mathematical Sciences, New York, USA, he joined the faculty of the University of Washington, Seattle, USA, where he is now professor emeritus of mathematics. He has written a number of research and expository articles on harmonic analysis and its applications, and he is the author of eleven textbooks and research monographs.