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Carl Einar Hille (28 June 1894 – 12 February 1980) was an American mathematics professor and scholar. Hille authored or coauthored twelve mathematical books and a number of mathematical papers.


Early life and education

Hille was born in New York City. His parents were both immigrants from Sweden who separated before his birth. His father, Carl August Heuman, was a civil engineer. He was brought up by his mother, Edla Eckman, who took the surname Hille. 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''.


Career

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, retiring in 1962. Hille's main work was on integral equations,
differential equation In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ...
s, special functions,
Dirichlet series In mathematics, a Dirichlet series is any series of the form \sum_^\infty \frac, where ''s'' is complex, and a_n is a complex sequence. It is a special case of general Dirichlet series. Dirichlet series play a variety of important roles in ana ...
and
Fourier series A Fourier series () is a summation of harmonically related sinusoidal functions, also known as components or harmonics. The result of the summation is a periodic function whose functional form is determined by the choices of cycle length (or ''p ...
. Later in his career his interests turned more towards functional analysis. His name persists among others in the Hille–Yosida theorem. Hille was a member of the London Mathematical Society and the
Circolo Matematico di Palermo The Circolo Matematico di Palermo (Mathematical Circle of Palermo) is an Italian mathematical society, founded in Palermo by Sicilian geometer Giovanni B. Guccia in 1884.
. Hille served as president of the
American Mathematical Society The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, ...
(1947–48) 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.


Personal life

Hille was married to Kirsti Ore Hille (1906–2001) in 1937, sister of Norwegian mathematician Øystein Ore. They had two sons, Harald and
Bertil Hille Bertil Hille (born October 10, 1940) is an Emeritus Professor, and the Wayne E. Crill Endowed Professor in the Department of Physiology and Biophysics at the University of Washington. He is particularly well known for his pioneering research on ce ...
.


Works

*with Ralph Phillips
''Functional Analysis and Semi-Groups.''
1948, 1957. *''Analytic Function Theory.'' 2 vols., 1959, 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. *''In Retrospect.'' Mathematical Intelligencer, Vol.3, 1980/81, No.1, pp. 3–13.


References


Other sources

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External links

* {{DEFAULTSORT:Hille, Einar 1894 births 1980 deaths 20th-century American mathematicians Mathematical analysts American people of Swedish descent Members of the United States National Academy of Sciences Order of the Polar Star Stockholm University alumni Presidents of the American Mathematical Society Members of the Royal Swedish Academy of Sciences