Front Cover; Spectral Synthesis; Copyright Page; Introduction; Table of contents; Chapter 1. The spectral synthesis problem; 1.1 The Fourier transform of L1(G); 1.2 Approximate identities in A ( G ); 1.3 Pseudo-measures; 1.4 The spectral synthesis problem; 1.5 Classical motivation for the spectral synthesis problem; Chapter 2. Tauberian theorems; 2.1 The Wiener spectrum and Wiener's Tauberian theorem; 2.2 Beurling's spectrum; 2.3 Classical Tauberian theorems; 2.4 Wiener's inversion of Fourier series; 2.5 The Tauberian theorem in spectral synthesis; Chapter 3. Results in spectral synthesis
3.1 Non-synthesizable phenomena3.2 Synthesizable phenomena; References; Index of proper names; Index of terms