Course in Abstract Harmonic Analysis

Discover the profound insights of G. B. Folland's Course in Abstract Harmonic Analysis, published in 2015. This second edition spans 320 pages and incorporates two decades of research advancements in the field. It offers a comprehensive exploration of abstract harmonic analysis, beginning with a concise review of Banach algebra theory and Abelian groups.

Dive into essential topics such as the Peter-Weyl theorem and spectral theory, alongside foundational concepts related to locally compact groups, Haar measure, and unitary representations. The updated content also delves into modern areas like representation theory, Frobenius reciprocity, and the Plancherel theorem, making it an invaluable resource for both students and professionals in mathematical analysis.

Enhance your understanding of harmonic analysis with this expertly revised text, perfect for those looking to deepen their knowledge in this complex yet fascinating subject.