A COURSE IN ABSTRACT HARMONIC ANALYSIS 2ED (HB 2015) Hardcover

"A Course in Abstract Harmonic Analysis (2nd Edition, HB 2015) offers a comprehensive and rigorous introduction to abstract harmonic analysis, emphasizing the study of topological groups, measure theory, and functional analysis. The book delves into the core principles and advanced techniques used to analyze functions and signals within mathematical structures like locally compact groups and Banach algebras. Key subjects covered include Haar measure and integration, representation theory, Pontryagin duality, Fourier analysis on groups, and spectral theory. The second edition introduces updates to the field, with more examples, exercises, and enhanced explanations of key theoretical concepts. This text is designed for graduate students, mathematicians, and researchers, providing an essential resource for those aiming to master abstract harmonic analysis and its applications in areas such as mathematical physics, signal processing, and beyond."