Antoni Zygmund

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

Life and work

Zygmund studied at Warsaw University, where he studied with Waclaw Sierpinski, Stefan Mazurkiewicz, Samuel Dickstein and Aleksander Rajchman, and especially the lectures and the Seminar on Fourier series of Rajchman pretended future research direction of Zygmund. In 1923, he handed in his doctoral thesis on Mazurkiewicz Bernhard Riemann's theory of Fourier series a ( she was supervised by Rajchman ). From 1922 to 1929 he taught at the Polytechnic School in Warsaw, where his college friend Stanislaw Saks taught. In 1926 he qualified as a professor and taught thereafter at the same time at the University of Warsaw. 1929/1930 he spent a year in England as a Rockefeller Fellow at Godfrey Harold Hardy in Oxford and John Edensor Littlewood in Cambridge, where he collaborated with Raymond Paley. In 1930 he was a professor at the University of Vilnius, Lithuania. Here did the collaboration with his students Józef Marcinkiewicz. In 1939 he was called as an officer in the Polish army.

Zygmund 1940 fled with his wife and son out of the area controlled by the German Wehrmacht Poland to the United States. After a short time at the Massachusetts Institute of Technology in 1940, he found a job at Mount Holyoke College, where he remained until 1945, interrupted by the period 1942/1943 at the University of Michigan. In 1947 he became a professor at the University of Pennsylvania, but was in the same year, at the invitation of Marshall Stone at the University of Chicago, where he remained until his retirement in 1980. His focus was on the theory of Fourier series and differential equations. With his student Alberto Calderon, whom he first met as a visiting professor 1947/8 in Buenos Aires and with whom he worked closely in 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 1979 he received the Leroy P. Steele Prize of the American Mathematical Society.

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

Writings

  • Trigonometric Series. Cambridge University Press, 1978, ISBN 0-521-89053-5.
  • Intégrales singulières ( = Lecture Notes in Mathematics. Band 204). Springer, 1971.
  • With Richard Wheeden Measure and Integral - an introduction to real analysis. Dekker, 1977.
70769
de