Harold Shapiro

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Harold Seymour Shapiro (* 1928 in Brooklyn , New York ) is an American mathematician .

Life

Shapiro studied at the City College of New York with a bachelor's degree in 1949 and at the Massachusetts Institute of Technology with a master's degree in 1951 and a doctorate with Norman Levinson in 1952 ( Extremal problems for polynomials and power series ). From 1952 to 1954 he was at Bell Laboratories and then researched and taught at the Courant Institute of Mathematical Sciences of New York University . In 1962 he became a professor at the University of Michigan and from 1972 he was professor of mathematics at the Royal Stockholm University of Technology . Since 1993 he has been Professor Emeritus there.

He is known for the Shapiro polynomials and the Rudin-Shapiro sequences used to generate them (also named after Walter Rudin and sometimes also after Marcel Golay ). The polynomials are used in signal processing.

Shapiro dealt with approximation theory, function theory, functional analysis and partial differential equations and is also known for investigations into areas of integration. Michael Benedicks and Peter Ebenfelt are among his PhD students .

family

His son is the cosmologist and science philosopher Max Tegmark .

Fonts

  • with D. Ahoronov: Domains on which analytic functions satisfy quadrature identities , In: J. Anal. Math. , Vol. 30, 1976, pp. 39-73

See also

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. Rudin-Shapiro Sequence, Mathworld