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Zygmund worked in analysis, in particular in harmonic analysis. He created one of the strongest analysis schools of the 20 Century.
Zygmund obtained his Ph.D. from the University of Warsaw in 1923. From 1922 to 1929 he taught at the Polytechnic School of Warsaw. After a year in England he took up a post at the university of Vilnius, Lithuania. He held this post until he was drafted into the Polish army at the start of the Second World War.
In 1940 Zygmund escaped with his wife and son from German controlled Poland to the USA. After a number of posts he was appointed to the University of Chicago in 1947 and remained there until he retired in 1980.
Zygmund was to create at Chicago a major analysis research centre. In 1986 he received the National Medal for Science for his building this research school. He supervised over 80 research students in his years at Chicago.
Zygmund's book Trigonometric Series (1935) is a classic that, together with later editions, is still the definitive work on the subject. Other major works include Analytic functions in 1938 and Measure and integral in 1977.
His work in harmonic analysis has application in the theory of waves and vibrations. He also did major work in Fourier analysis and its application to partial differential equations.
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