• Thumbnail for Antoni Zygmund
    Antoni Zygmund (December 26, 1900 – May 30, 1992) was a Polish mathematician. He worked mostly in the area of mathematical analysis, including especially...
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  • In mathematics, the Marcinkiewicz–Zygmund inequality, named after Józef Marcinkiewicz and Antoni Zygmund, gives relations between moments of a collection...
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  • integrals. It is named for the mathematicians Alberto Calderón and Antoni Zygmund. Given an integrable function  f  : Rd → C, where Rd denotes Euclidean...
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  • its first two moments. The inequality was proved by Raymond Paley and Antoni Zygmund. Theorem: If Z ≥ 0 is a random variable with finite variance, and if...
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  • operators, fundamental new techniques, introduced by Alberto Calderón and Antoni Zygmund in 1952, were developed by a number of authors to give general criteria...
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  • Mathematician Antoni Zygmund co-founded the school with his doctoral student Alberto Calderón at the University of Chicago in the 1950s. Over the years, Zygmund mentored...
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  • the University of Chicago, where Calderón and his mentor, the analyst Antoni Zygmund, developed the theory of singular integral operators. This created the...
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  • Thumbnail for Józef Marcinkiewicz
    1940 in Kharkiv, USSR) was a Polish mathematician. He was a student of Antoni Zygmund; and later worked with Juliusz Schauder, Stefan Kaczmarz and Raphaël...
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  • 1954 and his Doctor of Philosophy degree in 1958, under supervision of Antoni Zygmund. The title of his doctoral thesis was Topics in the Theory of Uniqueness...
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  • functions whose Fourier series converges pointwise but not uniformly; see Antoni Zygmund, Trigonometric Series, vol. 1, Chapter 8, Theorem 1.13, p. 300. However...
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  • Thumbnail for Elias M. Stein
    earned a Ph.D. from the University of Chicago under the direction of Antoni Zygmund. He began teaching at MIT in 1955, moved to the University of Chicago...
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  • Fourier analysis has been advanced at Warsaw by: Aleksander Rajchman Antoni Zygmund Józef Marcinkiewicz Otton M. Nikodym Jerzy Spława-Neyman Polish School...
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    Mathematics (with Alfred Tarski, Kazimierz Kuratowski, Wacław Sierpiński and Antoni Zygmund). Numerous mathematicians, scientists, chemists or economists emigrated...
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  • Thumbnail for List of National Medal of Science laureates
    1982—Marshall H. Stone 1983—Herman Goldstine, Isadore Singer 1986—Peter Lax, Antoni Zygmund 1987—Raoul Bott, Michael Freedman 1988—Ralph E. Gomory, Joseph Keller...
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  • Thumbnail for Scottish Book
    Book. Later Fellow and Bursar at Emmanuel College, Cambridge, England) Antoni Zygmund (emigrated to the US in 1940) Raikhel, Yuri (January 2010). "Scottish...
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  • space Karhunen–Loève theorem Lauricella's theorem Wannier function Antoni Zygmund (1935) Trigonometrical Series, page 6, Mathematical Seminar, University...
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  • Thumbnail for Timeline of Polish science and technology
    was still a child. An alumnus of the Warsaw School of Mathematics was Antoni Zygmund, one of the shapers of 20th-century mathematical analysis. According...
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  • with Antoni Zygmund, Analytic Functions, in 1933. It was translated into English in 1952 by E. J. Scott. In the preface to the English edition, Zygmund writes:...
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  • Thumbnail for Stefan Mazurkiewicz
    Borsuk, Bronisław Knaster, Kazimierz Kuratowski, Stanisław Saks, and Antoni Zygmund. For a time Mazurkiewicz was a professor at the University of Paris;...
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  • Dirichlet-Jordan Convergence Test", The American Mathematical Monthly, 93 (4) Antoni Zygmund (1952), Trigonometric series, Cambridge University Press, p. 57 R. E...
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  • Antoni Zygmund wrote a classic two-volume set of books entitled Trigonometric Series, which discusses many different aspects of trigonometric series. The...
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  • Thumbnail for Centipede mathematics
    removed one by one. The term is attributed to Polish mathematician Antoni Zygmund. Zygmund is said to have described the metaphor of the centipede thus: "You...
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  • Thumbnail for Aleksander Rajchman
    Mathematics Genealogy Project Aleksander Rajchman from an article by Antoni Zygmund Zygmund, Antoni (1987), "Aleksander Rajchman (1890–1940)", Roczniki Polskiego...
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  • who showed this result to Antoni Zygmund shortly before he died in World War II. The theorem was almost forgotten by Zygmund, and was absent from his original...
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  • functions, came from a 1932 suggestion of Paley.[b] Paley collaborated with Antoni Zygmund on Fourier series, continuing the work on this topic that he had already...
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  • Thumbnail for Norbert Wiener
    Scholars. He was interested in placing scholars such as Yuk-Wing Lee and Antoni Zygmund who had lost their positions. During World War II, his work on the automatic...
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  • Olympic medalist. Elly Yunara, 68, Indonesian film actress and producer. Antoni Zygmund, 91, Polish mathematician. Eugene A. Chappie, 72, American politician...
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  • from the original on January 16, 2011. Retrieved February 6, 2012. "Antoni Zygmund (1900–1992)". www-history.mcs.st-and.ac.uk. Archived from the original...
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  • Japanese-American teacher, master practitioner of Reiki (d. 1980) December 25 – Antoni Zygmund, Polish mathematician (d. 1992) December 26 – Evelyn Bark, leading member...
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  • Hilbert transform. The Hilbert transform was a motivating example for Antoni Zygmund and Alberto Calderón during their study of singular integrals. Their...
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