Description
With the groundwork laid in the first volume (EMS 15) of the “Commutative Harmonic Analysis” sub-series 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. The authors assume that the reader is familiar with the fundamentals of harmonic analysis and with basic functional analysis. The exposition starts with the basics for each topic, also taking account of the historical development, and ends by bringing the subject to the level of current research. Table of Contents include: Multiple Fourier Series and Fourier Integrals by Sh. A. Alimov, R. R. Ashurov, A. K. Pulatov; Methods of the Theory of Singular Integrals; Littlewood Paley Theory and its Applications by E. M. Dyn’kin; and Exceptional Sets in Harmonic Analysis by S. V. Kislyakov.
