A Course in Abstract Harmonic Analysis, Second Edition

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 entrées to advanced mathematics.