Fritz Carlson

Fritz David Carlson (23 July 1888 – 28 November 1952) was a Swedish mathematician.^[1] After the death of Torsten Carleman, he headed the Mittag-Leffler Institute.

Carlson's contributions to analysis include Carlson's theorem, the Polyá–Carlson theorem on rational functions, and Carlson's inequality

${\displaystyle \left(\sum _{n=1}^{\infty }|a_{n}|\right)^{4}\leq \pi ^{2}\sum _{n=1}^{\infty }|a_{n}|^{2}\,\sum _{n=1}^{\infty }n^{2}|a_{n}|^{2}~.}$

In number theory, his results include Carlson's theorem on Dirichlet series.

Hans Rådström, Germund Dahlquist, and Tord Ganelius were among his students.

Notes

External links

• Fritz Carlson at the Mathematics Genealogy Project