Antoni Zygmund
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Antoni Zygmund Script error: No such module "IPA". (December 26, 1900[1] – 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.[2][3][4][5][6] 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.[2][3][4][5]
Biography
Born in Warsaw, Zygmund obtained his Ph.D. from the University of Warsaw (1923) and was a professor at Stefan Batory University at Wilno from 1930 to 1939, when World War II broke out and Poland was occupied. In 1940 he managed to emigrate to the United States, where he became a professor at Mount Holyoke College in South Hadley, Massachusetts. In 1945–1947 he was a professor at the University of Pennsylvania, and from 1947, until his retirement, at the University of Chicago.
He was a member of several scientific societies. From 1930 until 1952 he was a member of the Warsaw Scientific Society (TNW), from 1946 of the Polish Academy of Learning (PAU), from 1959 of the Polish Academy of Sciences (PAN), and from 1961 of the National Academy of Sciences in the United States. In 1986 he received the National Medal of Science.
In 1935 Zygmund published in Polish the original edition of what has become, in its English translation, the two-volume Trigonometric Series. It was described by Robert A. Fefferman as "one of the most influential books in the history of mathematical analysis" and "an extraordinarily comprehensive and masterful presentation of a ... vast field".[7] 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.[6]
His work has had a pervasive influence in many fields of mathematics, mostly in mathematical analysis, and particularly in harmonic analysis. Among the most significant were the results he obtained with Calderón on singular integral operators.[8][7] George G. Lorentz called it Zygmund's crowning achievement, one that "stands somewhat apart from the rest of Zygmund's work".[6]
Zygmund's students included Alberto Calderón, Paul Cohen, Nathan Fine, Józef Marcinkiewicz, Victor L. Shapiro, Guido Weiss, Elias M. Stein and Mischa Cotlar. He died in Chicago.
Family
Antoni Zygmund, who had three sisters, married Irena Parnowska, a mathematician, in 1925.[4] Upon his death he was survived by four grandsons.[9]
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)
See also
- Calderón–Zygmund lemma
- Zygmunt Janiszewski
- Marcinkiewicz–Zygmund inequality
- Paley–Zygmund inequality
- List of Poles
- Centipede mathematics
References
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- ↑ The Editors of Encyclopaedia Britannica,Template:SpAntoni Zygmund at the Encyclopædia Britannica
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- ↑ a b The 2nd edition of Zygmund's Trigonometric Series (Cambridge University Press, 1959) consists of 2 separate volumes. The 3rd edition (Cambridge University Press, 2002, Template:ISBN) consists of the two volumes combined with a foreword by Robert A. Fefferman. The nine pages in Fefferman's foreword (biographic and other information concerning Zygmund) are not numbered.
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Further reading
- Kazimierz Kuratowski, A Half Century of Polish Mathematics: Remembrances and Reflections, Oxford, Pergamon Press, 1980, Template:Isbn.
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External links
- Template:PAGENAMEBASE at the Mathematics Genealogy ProjectTemplate:EditAtWikidata
- Mount Holyoke biography
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- Pages with script errors
- Articles with Encyclopædia Britannica links
- 1900 births
- 1992 deaths
- People from Warsaw Governorate
- 20th-century Polish mathematicians
- Mathematical analysts
- National Medal of Science laureates
- Members of the Polish Academy of Learning
- University of Warsaw alumni
- Mount Holyoke College faculty
- University of Pennsylvania faculty
- University of Chicago faculty
- Academic staff of Vilnius University
- Polish emigrants to the United States
- Functional analysts
- Members of the Polish Academy of Sciences
- Members of the United States National Academy of Sciences
- Members of the Warsaw Scientific Society