# Mathematician:Tage Gills Torsten Carleman

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## Mathematician

Swedish mathematician whose main work was in analysis and applied mathematics.

## Nationality

Swedish

## History

- Born: 8 July 1892, Visseltofta, Sweden
- 8 February 1917: Became a docent of mathematics at Uppsala University
- 1923: Appointed a full professor at Lund University
- 1924: Called as professor to Stockholm University
- 1924: Became a member of the Royal Physiographic Society in Lund
- 1926: Elected a member of the Royal Swedish Academy of Sciences
- 1927: Became an editor of Acta Mathematica
- 1927: Became director of the Mittag-Leffler Institute
- Died: 11 Jan 1949, Stockholm, Sweden

## Theorems and Definitions

- Carleman's Condition
- Carleman's Inequality
- Carleman Linearization or Carleman Embedding
- Denjoy-Carleman Theorem (with Arnaud Denjoy)
- Denjoy-Carleman-Ahlfors Theorem (with Arnaud Denjoy and Lars Valerian Ahlfors)

## Publications

- 1917:
*On the Neumann-PoincarĂ© problem for a region with corners*(Ph.D. thesis) - 1923:
*Singular integral equations with real and symmetric kernel* - 1926:
*Quasi-analytic functions* - 1928:
*Textbook in differential and integral calculus together with geometrical and mechanical applications* - 1944:
*Fourier integral and questions connected with it* - 1957:
*Mathematical problems of the kinetic theory of gas*

## Also known as

Usually known as **Torsten Carleman**.