Antoni Zygmund

Antoni Zygmund (December 26, 1900 – May 30, 1992) was a Polish-American mathematician. He worked mostly in the area of mathematical analysis, including harmonic analysis, and he is considered one of the greatest analysts of the 20th century. Zygmund was responsible for creating the Chicago school of mathematical analysis together with his doctoral student Alberto Calderón, for which he was awarded the National Medal of Science in 1986. Jean-Pierre Kahane called the book "The Bible" of a harmonic analyst. The theory of trigonometric series had remained the largest component of Zygmund's mathematical investigations.

Mathematical objects named after Zygmund Calderón–Zygmund lemma Marcinkiewicz–Zygmund inequality Paley–Zygmund inequality Calderón–Zygmund kernel

Books Trigonometric Series (Cambridge University Press 1959, 2002) Intégrales singulières (Springer-Verlag, 1971) Trigonometric Interpolation (University of Chicago, 1950) Measure and Integral: An Introduction to Real Analysis, With Richard L. Wheeden (Marcel Dekker, 1977) Analytic Functions, with Stanislaw Saks (Elsevier Science Ltd, 1971)