Einar Hille

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Einar Hille (right) 1971

Einar Carl Hille (born June 28, 1894 in New York , † February 12, 1980 in La Jolla ; originally Carl Einar Heuman ) was an American mathematician who grew up in Sweden and who dealt with analysis and functional analysis .

Live and act

Hille's parents separated before he was born, and he was raised by his mother alone. His parents were from Sweden, where his mother moved him when he was two years old. There he went to school in Stockholm and in 1911 began to study chemistry with the future Nobel Prize winner Hans von Euler-Chelpin . He even published some papers in chemistry, but then switched to mathematics and studied with Ivar Bendixson and Helge von Koch . In 1914 he graduated. In 1916 he wrote his licentiate thesis with Marcel Riesz on conformal mapping, and in 1918 he received his doctorate with a thesis on spherical functions. For this he received the Mittag-Leffler Prize in 1919 and the Venia Legendi. In 1920 he went to Harvard University on a scholarship to study with George David Birkhoff and Oliver Kellogg . In 1921/22 he was Benjamin Peirce Instructor at Harvard and in 1922 Instructor at Princeton . In 1923 he became an assistant professor and 1927 associate professor at Princeton and in 1933 professor at Yale University . In 1938 he became Director of Graduate Studies. In 1962 he retired.

Hille worked on various topics in analysis, in particular differential and integral equations, special functions, Dirichlet series and Fourier series. Later he turned more to functional analysis, but was always interested in its applications in classical analysis, and less in abstract questions. Among other things, he is known for developing the theory of semigroups of operators on Hilbert spaces.

In 1937/38 he was President of the American Mathematical Society (AMS) and in 1944 AMS Colloquium Lecturer. He was a member of the American Academy of Arts and Sciences (1932), the National Academy of Sciences (1953) and the Royal Swedish Academy of Sciences . He is the bearer of the Swedish North Star Order . In 1924 he was invited speaker at the International Congress of Mathematicians in Toronto, 1932 in Zurich and 1954 in Amsterdam and in 1962 he gave a lecture at the ICM in Stockholm ( Linear fourth order differential equations ).

Since 1937 he was married to the mathematician Kirsti Hille, the sister of Øystein Ore , with whom he has two sons, one of them the biologist Bertil Hille .

His doctoral students include Irving Segal , Frederic Bohnenblust , and Thomas Saaty .

Fonts

  • with Ralph Phillips: Functional Analysis and Semi-Groups. 1948, 1957.
  • Analytic Function Theory. 2 volumes, 1959, 1964.
  • Analysis. 2 volumes, 1964, 1966.
  • Lectures on Ordinary Differential Equations. 1969.
  • Methods in Classical and Functional Analysis. 1972.
  • Ordinary Differential Equations in the Complex Domain. 1976.
  • In Retrospect. Mathematical Intelligencer, Vol. 3, 1980/81, No. 1, pp. 3-13.

Web links

personal data
SURNAME Hille, Einar
ALTERNATIVE NAMES Hille, Einar Carl (full name); Heuman, Carl Einar
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH June 28, 1894
PLACE OF BIRTH New York , USA
DATE OF DEATH February 12, 1980
Place of death La Jolla