December 25, 1900|
Warsaw, Congress Poland
|Died||May 30, 1992
Chicago, Illinois, United States
|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|
|Notable awards||National Medal of Science (1986)|
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[disambiguation needed] (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.
- Trigonometric Series (Cambridge University Press 1959, Dover 1955)
- 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)
- Calderón–Zygmund lemma
- Zygmunt Janiszewski
- Marcinkiewicz–Zygmund inequality
- Paley–Zygmund inequality
- List of Poles
- Centipede mathematics
- 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. doi:10.1090/s0002-9904-1936-06235-x. 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.
- Gray, Jeremy (1970–80). "Zygmund, Antoni". Dictionary of Scientific Biography 25. New York: Charles Scribner's Sons. pp. 414–416. ISBN 978-0-684-10114-9.
- 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.