Peter Larkin Duren (30 April 1935,
New Orleans, Louisiana – July 10, 2020) was an American mathematician. He specialized in
mathematical analysis and was known for the monographs and textbooks he has written.
Academic Career
Duren received in 1956 his bachelor's degree from
Harvard University and in 1960 his PhD from
MIT under
Gian-Carlo Rota with thesis ''Spectral theory of a class of non-selfadjoint infinite matrix operators''. As a postdoc he was an instructor at
Stanford University
Stanford University, officially Leland Stanford Junior University, is a private research university in Stanford, California. The campus occupies , among the largest in the United States, and enrolls over 17,000 students. Stanford is consider ...
. At the
University of Michigan, he became in 1962 an assistant professor, in 1966 an associate professor, in 1969 a professor, and in 2010 a professor emeritus.
Duren was in 1968/69 at the
Institute for Advanced Study, in 1975 a visiting professor at the
Technion in Haifa, in 1964/65 a visiting scientist at
Imperial College
Imperial College London (legally Imperial College of Science, Technology and Medicine) is a public research university in London, United Kingdom. Its history began with Prince Albert, consort of Queen Victoria, who developed his vision for a cu ...
and the
University of Paris-Sud in Orsay, in 1982 a visiting professor at the
University of Maryland and in 1982/83 at the
Mittag-Leffler Institute
The Mittag-Leffler Institute is a mathematical research institute located in Djursholm, a suburb of Stockholm. It invites scholars to participate in half-year programs in specialized mathematical subjects. The Institute is run by the Royal Swe ...
, the University of Paris-Sud and at the
ETH Zürich. In 1989 he was a visiting scientist at Stanford University, in 1993 at the University of Hawaii and in 1996 at the
Norwegian Institute of Technology
The Norwegian Institute of Technology (Norwegian: ''Norges tekniske høgskole'', NTH) was a science institute in Trondheim, Norway. It was established in 1910, and existed as an independent technical university for 58 years, after which it was m ...
in Trondheim. He has also been a visiting scientist in Halle, at the
Max-Planck Institute
The Max Planck Society for the Advancement of Science (german: Max-Planck-Gesellschaft zur Förderung der Wissenschaften e. V.; abbreviated MPG) is a formally independent non-governmental and non-profit association of German research institutes. ...
in Leipzig, at the
University of Witwatersrand, in Santiago de Chile, at the
Autonomous University of Madrid, at
Bar-Ilan University and the
Academia Sinica
Academia Sinica (AS, la, 1=Academia Sinica, 3=Chinese Academy; ), headquartered in Nangang, Taipei, is the national academy of Taiwan. Founded in Nanking, the academy supports research activities in a wide variety of disciplines, ranging from ...
in Beijing.
In 1976/77 he was chief editor of the ''
Michigan Mathematical Journal''. He was a co-editor of the ''
American Mathematical Monthly
''The American Mathematical Monthly'' is a mathematical journal founded by Benjamin Finkel in 1894. It is published ten times each year by Taylor & Francis for the Mathematical Association of America.
The ''American Mathematical Monthly'' is an e ...
'' and a
festschrift for
Frederick Gehring.
Duren's research and expository writing deals with function theory and functional analysis, including
Hardy spaces,
schlicht function In complex analysis, de Branges's theorem, or the Bieberbach conjecture, is a theorem that gives a necessary condition on a holomorphic function in order for it to map the open unit disk of the complex plane injectively to the complex plane. It was ...
s,
harmonic analysis
Harmonic analysis is a branch of mathematics concerned with the representation of Function (mathematics), functions or signals as the Superposition principle, superposition of basic waves, and the study of and generalization of the notions of Fo ...
,
geometric function theory,
potential theory, and
special functions.
Awards
From 1964 to 1966, Duren was a
Sloan Fellow. In 2012, he became a Fellow of the
American Mathematical Society.
Selected works
Invitation to classical analysis American Mathematical Society 2012
*Harmonic maps in the plane,
Cambridge University Press 2004
*with Alexander Schuster
Bergman Spaces American Mathematical Society 2004
*as editor with
Richard A. Askey and
Uta C. Merzbach: ''A century of mathematics in America'', 3 vols., American Mathematical Society 1988 (Centenary of the AMS)
Univalent Functions Grundlehren der mathematischen Wissenschaften, Springer Verlag 1983
*''Theory of
-Spaces'', Academic Press 1970, Dover 2000
References
External links
Homepage
{{DEFAULTSORT:Duren, Peter
1935 births
20th-century American mathematicians
21st-century American mathematicians
Fellows of the American Mathematical Society
Harvard University alumni
Massachusetts Institute of Technology alumni
University of Michigan faculty
Living people