Erik Ivar Fredholm
| Erik Ivar Fredholm | |
|---|---|
|
Erik Ivar Fredholm | |
| Born |
7 April 1866 Stockholm |
| Died |
17 August 1927 (aged 61) 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 (7 April 1866 – 17 August 1927) was a Swedish mathematician whose work on integral equations and operator theory foreshadowed the theory of Hilbert spaces.
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] In 1914 he was elected a member of the Royal Swedish Academy of Sciences. Beside his academic career he was recruited to the Swedish Social Insurance Agency when it was founded in 1902. He later served as an actuary at the insurance company Skandia (1904-1927), where his Fredholm equation was used to calculate buyback-prices.[2]
From 1911, he was married to Agnes Maria Liljeblad, the secretary of Mittag-Leffler.[3]
Mathematical work
In (Fredholm 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 for 1908.[4][5]
The lunar crater Fredholm is named after him.
Publications
- Fredholm, I. (1900). "Sur une nouvelle méthode pour la résolution du problème de Dirichlet". Kong. Vetenskaps-Akademiens Fbrh. Stockholm (in French): 39–46. JFM 32.0435.02.
- Fredholm, E.I. (1903). "Sur une classe d'équations fonctionnelles". Acta Math. 27: 365–390. doi:10.1007/bf02421317. JFM 34.0422.02.
- Fredholm, I. (1955). Oeuvres complètes. Malmd: Litos Reprotryck.
Notes
- ↑ Nörlund & Carleman (1928)
- ↑ Grenholm & Åke (1955)
- ↑ Stubhaug (2010)
- ↑ Nörlund & Carleman (1928)
- ↑ "Séance du 7 décembre". Le Moniteur scientifique du Doctor Quesneville: 134. February 1909.
References
- Netuka, Ivan; Veselý, Jiří (1977). "Ivar Fredholm and the origins of functional analysis". Pokroky matematiky, fyziky a astronomie (in Czech). 22 (1): 10–21. MR 0532508. Zbl 0445.01009.
- 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". Acta Math (in French). 51 (1): i–ii. doi:10.1007/bf02545657. MR 1555258.
- Zeilon, Nils (1930). "Ivar Fredholm". Acta Math (in French). 54 (1): I–XVI. doi:10.1007/bf02547515. MR 1555300.
- Stubhaug, Arild (2010). "The Big Poincaré Campaign". Gösta Mittag-Leffler. pp. 543–552. doi:10.1007/978-3-642-11672-8_66.
- Grenholm, Åke (1955). Försäkringsaktiebolaget Skandia 1855-1955. pp. 186–188.
External links
- O'Connor, John J.; Robertson, Edmund F., "Erik Ivar Fredholm", MacTutor History of Mathematics archive, University of St Andrews.
- Erik Ivar Fredholm at the Mathematics Genealogy Project
- Evans M. Harrell II, A Short History of Operator Theory (2004)