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.

Fritz Carlson
Born	23 July 1888 Vimmerby, Sweden
Died	28 November 1952 (aged 64) Stockholm, Sweden
Nationality	Sweden
Alma mater	Uppsala University
Scientific career
Fields	Mathematics
Institutions	University of Stockholm
Doctoral advisor	Anders Wiman
Doctoral students	Germund Dahlquist Tord Ganelius Hans Rådström

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

1. Frostman, Otto (1953). "Fritz Carlson in memoriam". Acta Math. 90: ix–xii. doi:10.1007/bf02392434. MR 0057791.

External links

• Fritz Carlson at the Mathematics Genealogy Project