Antoni Zygmund

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Antoni Zygmund (born December 25, 1900 in Warsaw , † May 30, 1992 in Chicago , Illinois ) was an American mathematician of Polish descent.

life and work

Zygmund studied at the University of Warsaw , where he studied with Waclaw Sierpinski , Stefan Mazurkiewicz , Samuel Dickstein and Aleksander Rajchman , among others , and especially the lectures and the seminar on Fourier series by Rajchman indicated the future direction of Zygmund's research. In 1923 he submitted his doctoral thesis to Mazurkiewicz on Bernhard Riemann's theory of the Fourier series (it was supervised by Rajchman). From 1922 to 1929 he taught at the Polytechnic School in Warsaw, where his college friend Stanislaw Saks also taught. In 1926 he completed his habilitation and then also taught at the University of Warsaw. In 1929/1930 he spent a year in England as a Rockefeller Fellow with Godfrey Harold Hardy in Oxford and John Edensor Littlewood in Cambridge , where he also worked with Raymond Paley . In 1930 he went to Vilnius University , Lithuania, as a professor . It was here that he worked with his student Józef Marcinkiewicz . In 1939 he was called up as an officer in the Polish army.

In 1940 Zygmund fled with his wife and son from Poland, which was controlled by the German Wehrmacht, to the USA . After a short time at the Massachusetts Institute of Technology , he found a job at Mount Holyoke College in 1940, where he stayed until 1945, interrupted by the time 1942/1943 at the University of Michigan . In 1947 he became a professor at the University of Pennsylvania , but in the same year went to the University of Chicago at the invitation of Marshall Stone , where he stayed until his retirement in 1980. His main focus was the theory of Fourier series and differential equations. With his student Alberto Calderon , whom he first met as a visiting professor in Buenos Aires in 1947/8 and with whom he worked closely from 1950, he founded the Calderon-Zygmund theory of singular integral operators. He is known for his extensive monograph Trigonometric Series , which first appeared in 1935.

In 1960 Zygmund was elected to the National Academy of Sciences , 1969 to the American Academy of Arts and Sciences . In 1979 he received the Leroy P. Steele Prize from the American Mathematical Society .

He was married to the math teacher Irena Parnowska since 1925.


  • Trigonometric Series. Cambridge University Press, 1978, ISBN 0-521-89053-5 .
  • Intégrales Singulières (= Lecture Notes in Mathematics. Volume 204). Springer, 1971.
  • with Richard Wheeden Measure and Integral - an introduction to real analysis. Dekker, 1977.

See also


Web links

Individual evidence

  1. ^ Zygmund Calderon: On the existence of singular integrals. In: Acta Mathematica. Volume 88, 1952, pp. 85-139
  2. ^ American Academy of Arts and Sciences. Book of Members ( PDF ). Retrieved April 21, 2016