December 25, 1900|
Warsaw, Congress Poland
|Died||May 30, 1992
|Institutions||University of Chicago
Stefan Batory University
|Alma mater||Uniwersytet Warszawski|
|Doctoral advisor||Aleksander Rajchman
|Doctoral students||Alberto Calderón
Elias M. Stein
|Known for||Singular integral operators|
Born in Warsaw, Zygmund obtained his PhD from Warsaw University (1923) and became a professor at Stefan Batory University at Wilno (1930–39). In 1940, during the World War II occupation of Poland, he emigrated to the United States and became a professor at Mount Holyoke College in South Hadley. From 1945 until 1947 he was a professor at the University of Pennsylvania, and from 1947 at the University of Chicago.
He was a member of several scientific societies. From 1930 until 1952 he was a member of the Polish Society of Friends of Science (TNW), from 1946 a member of the Polish Academy of Learning (PAU), from 1959 a member of the Polish Academy of Sciences (PAN), and from 1961 a member of the National Academy of Science in Washington, D.C.. In 1986 he received the National Medal of Science.
His main interest was harmonic analysis. He wrote a standard two-volume work Trigonometric Series. His students included Alberto Calderón, Paul Cohen, Nathan Fine, Józef Marcinkiewicz, Victor L. Shapiro, Guido Weiss, and Elias Stein. He died in Chicago.
His work has had a pervasive influence in many fields of mathematics, particularly in mathematical analysis. He wrote over 6 books. Perhaps most important was his work with Calderón on singular integral operators.
See also 
- Calderón–Zygmund lemma
- Zygmunt Janiszewski
- Marcinkiewicz–Zygmund inequality
- Paley–Zygmund inequality
- List of Poles
- Kazimierz Kuratowski, A Half Century of Polish Mathematics: Remembrances and Reflections, Oxford, Pergamon Press, 1980, ISBN 0-08-023046-6.
- Zygmund, A. (2002) , Trigonometric series. Vol. I, II, Cambridge Mathematical Library (3rd ed.), Cambridge University Press, ISBN 978-0-521-89053-3, MR 1963498
- Salem, Raphael (1960). "Review: Trigonometric Series by A. Zygmund, 2nd. ed., vols. I and II". Bull. Amer. Math. Soc. 66 (1): 6–12.
- The 2nd edition (Cambridge U. Press, 1959) consists of 2 separate volumes. The 3rd edition (Cambridge U. Press, 2002) consists of the two volumes combined with a foreword by Robert A. Fefferman.
- Tamarkin, J. D. (1936). "Review: Trigonometric Series by A. Zygmund, 1st edn.". Bull. Amer. Math. Soc. 42 (1): 11–13. The first edition (vol. V of the series Monografje Matematyczne, 1935) consists of iv+320 pp. The third edition consists of foreword: xii; vol. I: xiv+383 pp.; vol. II: viii+364 pp.
Further reading 
- Gray, Jeremy (1970–80). "Zygmund, Antoni". Dictionary of Scientific Biography 25. New York: Charles Scribner's Sons. pp. 414–416. ISBN 0684101149.
- Antoni Zygmund at the Mathematics Genealogy Project
- Mount Holyoke biography
- O'Connor, John J.; Robertson, Edmund F., "Antoni Zygmund", MacTutor History of Mathematics archive, University of St Andrews.