Erik Ivar Fredholm

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Erik Ivar Fredholm
Fredholm 2.jpeg
Erik Ivar Fredholm
Born 7 April 1866
Stockholm
Died 17 August 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 (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[edit]

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[edit]

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[edit]

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.[3][4]

The lunar crater Fredholm is named after him.

Publications[edit]

  • Fredholm, I. (1900). "Sur une r nouvelle méthode pour la résolution du probléme de Dirichlet". Kong. Vetenskaps-Akademiens Fbrh. Stockholm (in French): 39–46. JFM 32.0435.02. 
  • Fredholm, E.I. (1903). "Sur une classe d'equations fonctionnelles". Acta Math 27: 365–390. doi:10.1007/bf02421317. JFM 34.0422.02. 
  • Fredholm, I. (1955). Oeuvres completes. Malmd: Litos Reprotryck. 

Notes[edit]

  1. ^ Nörlund & Carleman (1928)
  2. ^ Stubhaug (2010)
  3. ^ Nörlund & Carleman (1928)
  4. ^ "Séance du 7 décembre". Le Moniteur scientifique du Doctor Quesneville: 134. February 1909. 

References[edit]

External links[edit]