Fritz Carlson
Carlson in 1913
Born	(1888-07-23)23 July 1888 Vimmerby, Sweden
Died	28 November 1952(1952-11-28) (aged 64) Stockholm, 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

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.