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Antoni Zygmund

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Citizenship
  
Polish, American

Role
  
Mathematician

Name
  
Antoni Zygmund


Nationality
  
Polish

Fields
  
Mathematics

Antoni Zygmund wwwangelfirecomscifi2rsoleckiimagesZygmundp

Born
  
December 25, 1900 Warsaw, Congress Poland (
1900-12-25
)

Institutions
  
University of Chicago Stefan Batory University

Doctoral advisor
  
Aleksander Rajchman Stefan Mazurkiewicz

Doctoral students
  
Alberto Calderon Leonard Berkovitz Elias M. Stein Paul Cohen Eugene Fabes

Died
  
May 30, 1992, Hyde Park, Illinois, United States

Books
  
Analytic Functions, Intégrales singulières, Trigonometric Series

Education
  
University of Warsaw (1923), Vilnius University

Awards
  
Guggenheim Fellowship for Natural Sciences, US & Canada

Similar People
  
Elias M Stein, Stanislaw Saks, Paul Cohen, Georg Cantor, Kurt Godel

Alma mater
  
Uniwersytet Warszawski

Antoni Zygmund | Wikipedia audio article


Antoni Zygmund (December 25, 1900 – May 30, 1992) was a Polish mathematician. He is considered one of the greatest analysts of the 20th century. His main area of interest was harmonic analysis.

Contents

Biography

Born in Warsaw, Zygmund obtained his Ph.D. 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 Warsaw Scientific Society (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 in Polish what soon became, in its English translation, the standard text in analysis, the two-volume 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. Perhaps most important was his work with Calderón on singular integral operators.

Mathematical objects named after Zygmund

  • Calderón–Zygmund lemma
  • Marcinkiewicz–Zygmund inequality
  • Paley–Zygmund inequality
  • Calderón–Zygmund kernel
  • Books

  • 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)
  • References

    Antoni Zygmund Wikipedia


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