**Einar Carl Hille** was an American mathematician who worked on analysis and functional analysis.

- That was the name by which Einar Hille was always known.
- Although he was born in the United States, Hille's parents were Swedish.
- Hille would spend the next 24 years of his life in Sweden only returning to the United States when he was 26 years old.
- In 1900 Einar entered the Palmsgrenska Samskola, a private school in Stockholm.
- Hille entered the University of Stockholm in 1911 with the intention of reading for a degree in chemistry.
- Hille made an impressive start to his career in chemistry with his first publication in 1913 being jointly with Euler-Chelpin.
- However, Hille decided that he did not have the necessary dexterity to make a career in a subject which involved delicate experiments.
- Hille was fortunate in not only having a world class chemist to work under in Stockholm, but also world class mathematicians.
- Hille was awarded his first degree in mathematics in 1913 and the equivalent of a Master's degree in the following year.
- Then Hille began working with Marcel Riesz on conformal mappings and submitted a thesis on that topic in 1916; for this he was awarded a Lic.
- In 1919 Hille was awarded the Mittag-Leffler prize for his outstanding contributions, and was given the right to teach at the University of Stockholm.
- Hille obtained a fellowship to work with Birkhoff in Harvard and he returned to the land of his birth in 1920, spending the academic year 1920-21 at Harvard where, as well as working with Birkhoff, he also studied with Kellogg.
- In academic year 1921-22 Hille was Benjamin Peirce Instructor at Harvard then, in 1922, he went to Princeton as an instructor.
- In 1923 Hille was promoted to assistant professor at Princeton, and in 1927 to associate professor.
- Hille was appointed director of graduate studies in 1938 and he held this position, and his chair, at Yale until he retired in 1962.
- Hille's main work was on integral equations, differential equations, special functions, Dirichlet series and Fourier series.
- Among Hille's other texts were Analytic function theory Vol 1 (1959), Vol 2 (1964); Analysis Vol 1 (1964), Vol 2 (1966); Lectures on ordinary differential equations (1969); Methods in classical and functional analysis (1972); and Ordinary differential equations in the complex domain (1976).
- The book also contains a personal account of Hille's mathematical career which he gave at the Yale Colloquium in May 1962.
- Hille served as president of the American Mathematical Society (1937-38) and was the Society's Colloquium lecturer in 1944.

Born 28 June 1894, New York, USA. Died 12 February 1980, La Jolla, California, USA.

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Origin Usa

**Oâ€™Connor, John J; Robertson, Edmund F**: MacTutor History of Mathematics Archive