Otto Ludwig Hölder (December 22, 1859 - August 29, 1937) was a mathematician born in Stuttgart, Germany.

He is famous for Hölder's inequality and the Jordan-Hölder theorem, for a theorem stating that every linearly ordered group that satisfies an Archimedean property is isomorphic to a subgroup of the additive group of real numbers, the classification of simple groups of order up to 200, and Hölder's theorem which implies that the Gamma function satisfies no algebraic differential equation. Another important notion related to his name is the Hölder condition which is used e.g. in the theory of partial differential equations and function spaces.

In 1877, he entered the University of Berlin and took his doctorate from the University of Tübingen in 1882. The title of his doctoral thesis was "Beiträge zur Potentialtheorie". He worked at the University of Leipzig from 1899 until his retirement.

See also

• Hölder mean

References

1859 births | 1937 deaths | 19th century mathematicians | 20th century mathematicians | Group theorists

Otto Hölder