Analysis of Divergence

Divergent processes are at the core of classical and modern mathematical analysis and the careful control and management of these processes are essential. This text is a survey of results, analysis and applications for the study of divergent processes. It covers a broad range of topics including summability, Fourier series, wavelet transform, singular integrals, spectral theory and asymptotics. It should be a useful resource for pure and applied mathematicians working in the areas of functional analysis, singular integrals, variational problems, signal analysis and wavelet analysis.