This book collects the proceedings of the 2012 Abel Symposium held at the Norwegian Academy of
Science and Letters Oslo. The Symposium and this book are focused on two important fields of
modern mathematical analysis: operator-related function theory and time-frequency analysis and
the profound interplay between them. Among the original contributions and overview lectures
gathered here are a paper presenting multifractal analysis as a bridge between geometric
measure theory and signal processing local and global geometry of Prony systems and Fourier
reconstruction of piecewise-smooth functions Bernstein's problem on weighted polynomial
approximation singular distributions and symmetry of the spectrum and many others. Offering a
selection of the latest and most exciting results obtained by world-leading researchers the
book will benefit scientists working in Harmonic and Complex Analysis Mathematical Physics and
Signal Processing.
