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Swedish mathematician (1888–1952)
Fritz Carlson
Carlson in 1913
Born(1888-07-23)23 July 1888
Vimmerby, Sweden
Died28 November 1952(1952-11-28) (aged 64)
Stockholm, Sweden
Alma materUppsala University
Scientific career
FieldsMathematics
InstitutionsUniversity of Stockholm
Doctoral advisorAnders Wiman
Doctoral students

Fritz David Carlson (23 July 1888 – 28 November 1952) was a Swedish mathematician. 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

( n = 1 | a n | ) 4 π 2 n = 1 | a n | 2 n = 1 n 2 | a n | 2   . {\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.

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