Erik Ivar Fredholm
| Erik Ivar Fredholm | |
|---|---|
 Erik Ivar Fredholm |
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| 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.
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[edit] 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]
[edit] 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.
[edit] 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.
[edit] 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.
[edit] Notes
[edit] 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.
[edit] 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)
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