Einar Hille

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Einar Hille
Born Carl Einar Hille
(1894-06-28)28 June 1894
New York City, United States
Died 12 February 1980(1980-02-12) (aged 85)
La Jolla, California
Nationality American
Fields Mathematics
Institutions Yale University
Alma mater University of Stockholm
Doctoral advisor Marcel Riesz
Doctoral students Henri Frederic Bohnenblust
Cassius Ionescu Tulcea
George Maltese
Malcolm Robertson
Thomas L. Saaty
Irving Segal

Carl Einar Hille (28 June 1894 – 12 February 1980) was an American mathematician of Swedish descent.

Hille was born in New York to a Swedish immigrant mother. His father was Carl August Heuman, a civil engineer, and his mother was Edla Ekman. In New York, she took the name Hille and when Einar was two years old, he and his mother returned to Stockholm. Hille spent the next 24 years of his life in Sweden, returning to the United States when he was 26 years old.


Hille entered the University of Stockholm in 1911. Hille was awarded his first degree in mathematics in 1913 and the equivalent of a Master's degree in the following year. He received a Ph.D. from Stockholm in 1918 for a doctoral dissertation entitled Some Problems Concerning Spherical Harmonics.

In 1919 Hille was awarded the Mittag-Leffler Prize and was given the right to teach at the University of Stockholm. He subsequently taught at Harvard University, Princeton University, Stanford University and the University of Chicago. In 1933, he became an endowed professor on mathematics in the Graduate School of Yale University. Hille was a member of the London Mathematical Society and the Circolo Matematico di Palermo. Hille served as president of the American Mathematical Society (1937–38) and was the Society's Colloquium lecturer in 1944. He received many honours including election to the United States National Academy of Sciences (1953) and the Swedish Royal Academy of Sciences. He was awarded by Sweden with the Order of the Polar Star.

Hille's main work was on integral equations, differential equations, special functions, Dirichlet series and Fourier series. Later in his career his interests turned more towards functional analysis. His name persists among others in the Hille–Yosida theorem.

Hille was married to Kirsti Hille (née Ore), sister of Norwegian mathematician Øystein Ore, and had two sons, Harald and Bertil Hille. He died in La Jolla, California.


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


  • Dunford, Nelson (1981). "Einar Hille (June 28, 1894—February 12, 1980)". Bull. Amer. Math. Soc. (N.S.) 4 (3): 303–319. doi:10.1090/s0273-0979-1981-14895-3. MR 609040. 
  • Yosida, K. (1981). "Some aspects of E. Hille's contributions to semigroup theory". Integral Equations Operator Theory 4 (3): 311–329. doi:10.1007/BF01697968. 
  • Benson, Adolph B.; Hedin, Naboth (1969). Swedes In America. New York: Haskel House. 

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