With the groundwork laid in the first volume (EMS 15) of the Commutative Harmonic Analysis subseries of the Encyclopaedia, the present volume takes up four advanced topics in the subject: Littlewood-Paley theory for singular integrals, exceptional sets, multiple Fourier series and multiple Fourier integrals.

Translated by: J. Peetre
Contributions by: Sh.A. Alimov, R.R. Ashurov, E.M. Dyn'kin, S.V. Kislyakov, A.K. Pulatov