Erik Ivar Fredholm

Erik Ivar Fredholm
Erik Ivar Fredholm
Born	April 7, 1866 Stockholm
Died	August 17, 1927 Mörby (near Stockholm)
Nationality	Swedish
Fields	Mathematics
Doctoral advisor	Gösta Mittag-Leffler
Doctoral students	Nils Zeilon
Known for	Analytic Fredholm theorem Fredholm alternative Fredholm determinant Fredholm equation Fredholm kernel Fredholm module Fredholm operator Fredholm theory

Erik Ivar Fredholm (April 7, 1866 – August 17, 1927) was a Swedish mathematician whose work on integral equations and operator theory foreshadowed the theory of Hilbert spaces.

Contents 1 Biography 2 Mathematical work 3 Honours 4 Publications 5 Notes 6 References 7 External links

Biography

Fredholm was born in Stockholm in 1866. He obtained his PhD at Uppsala University in 1898, under the supervision of Gösta Mittag-Leffler. He was docent at Stockholm University from 1898 to 1906 and professor from 1906 until his death.^[1]

From 1911, he was married to Agnes Maria Liljeblad, the secretary of Mittag-Leffler.^[2]

Mathematical work

In ( 1900, 1903), Fredholm introduced and analysed a class of integral equations now called Fredholm equations. His analysis included the construction of Fredholm determinants, and the proof of the Fredholm theorems.

Honours

Fredholm was a member of the Finnish Society of Sciences and Letters and of the Accademia dei Lincei; he was awarded the Poncelet Prize.^[3]

The lunar crater Fredholm is named after him.

Publications

• Fredholm, I. (1900). "Sur une r nouvelle méthode pour la résolution du probléme de Dirichlet" (in French). Kong. Vetenskaps-Akademiens Fbrh. Stockholm: 39–46. JFM 32.0435.02. 
• Fredholm, E.I. (1903). "Sur une classe d'equations fonctionnelles". Acta Math 27: 365–390. JFM 34.0422.02. 
• Fredholm, I. (1955). Oeuvres completes. Malmd: Litos Reprotryck. 

Notes

References

• Netuka, Ivan; Veselý, Jiří (1977). "Ivar Fredholm and the origins of functional analysis" (in Czech). Pokroky matematiky, fyziky a astronomie 22 (1): 10–21. MR0532508. http://hdl.handle.net/10338.dmlcz/137665. 
• Nörlund, N.E.; Carleman, Torsten (1928). "Nous avons le devoir douloureux d'annoncer la mort de notre collaborateur Erik Ivar Fredholm décédé à Mörby le 17 août 1927" (in French). Acta Math 51 (1): i–ii. MR1555258. 
• Zeilon, Nils (1930). "Ivar Fredholm" (in French). Acta Math 54 (1): I–XVI. MR1555300. 
• Stubhaug, Arild (2010). "The Big Poincaré Campaign". Gösta Mittag-Leffler. pp. 543–552. doi:10.1007/978-3-642-11672-8_66. 

External links

• O'Connor, John J.; Robertson, Edmund F., "Erik Ivar Fredholm", MacTutor History of Mathematics archive, University of St Andrews, http://www-history.mcs.st-andrews.ac.uk/Biographies/Fredholm.html .
• Erik Ivar Fredholm at the Mathematics Genealogy Project.
• Evans M. Harrell II, A Short History of Operator Theory (2004)

Persondata
Name	Fredholm, Erik Ivar
Alternative names
Short description
Date of birth	April 7, 1866
Place of birth	Stockholm
Date of death	August 17, 1927
Place of death	Mörby near Stockholm