The first volume in this subseries of the Encyclopaedia is meant tofamiliarize the reader with the discipline Commutative HarmonicAnalysis.

The second article focuses on some of the classical problems ofFourier series; it's a"mini-Zygmund"for the beginner. The thirdarticle is the most modern of the three, concentrating on singularintegral operators. It also contains an introduction to Calderon-Zygmund theory.

Methods and Structure of Commutative Harmonic Analysis

V.P. Khavin

II. Classical Themes of Fourier Analysis

S.V. Kislyakov

III. Methods of the Theory of Singular Integrals:

Hiibert Transform and Calder6n-Zygmund Theory

E.M. Dyn'kin

Author Index

Subject Index