Description
Book SynopsisThis book provides a modern introduction to harmonic analysis and synthesis on topological groups. It serves as a guide to the abstract theory of Fourier transformation. For the first time, it presents a detailed account of the theory of classical harmonic analysis together with the recent developments in spectral analysis and synthesis.
Table of ContentsDuality of Finite Abelian Groups; Harmonic Analysis on Finite Abelian Groups; Invariant Means on Abelian Groups; Duality of Discrete and Compact Abelian Groups; Duality of Elementary Abelian Groups; Harmonic Analysis on Compact Abelian Groups; Duality of Locally Compact Abelian Groups; Harmonic Analysis on Locally Compact Abelian Groups; Haar Integral on Locally Compact Abelian Groups; Spectral Analysis on Abelian Groups; Spectral Synthesis on Abelian Groups; Spectral Analysis and Synthesis on Varieties; Noncommutative Spectral Synthesis.
