Erik Ivar Fredholm

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.{{harvtxt|Nörlund|Carleman|1928}} In 1914 he was elected a member of the Royal Swedish Academy of Sciences and in 1922 a foreign member of the Finnish Society of Sciences and Letters.{{Cite book |last=Elfving |first=Fredrik |title=Finska Vetenskaps-Societeten 1838 - 1938 |publisher=Societas Scientiarum Fennica |year=1838 |location=Helsingfors |publication-date=1938 |pages=300}} 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.{{harvtxt|Grenholm|1955}}

From 1911, he was married to Agnes Maria Liljeblad, the secretary of Mittag-Leffler.{{harvtxt|Stubhaug|2010}}

In {{harvs|last=Fredholm|year1=1900|year2=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.

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.{{harvtxt|Nörlund|Carleman|1928}}{{cite journal|title=Séance du 7 décembre|journal=Le Moniteur Scientifique du Docteur Quesneville|date=February 1909|page=134|url=http://babel.hathitrust.org/cgi/pt?id=uc1.c2557132;view=1up;seq=142|archive-url=https://archive.today/20141021045123/http://babel.hathitrust.org/cgi/pt?id=uc1.c2557132;view=1up;seq=142|url-status=dead|archive-date=2014-10-21}}

The lunar crater Fredholm is named after him as is the asteroid 21659 Fredholm.

• {{cite journal|last=Fredholm|first=I.|jfm=32.0435.02|title=Sur une nouvelle méthode pour la résolution du problème de Dirichlet|language=fr|journal=Kong. Vetenskaps-Akademiens FBRH. Stockholm|pages=39–46|year=1900}}
• {{cite journal|last=Fredholm|first=E.I.|title=Sur une classe d'équations fonctionnelles|journal=Acta Math|volume=27|year=1903|pages=365–390|jfm= 34.0422.02|doi=10.1007/bf02421317|url=https://zenodo.org/record/1925972/files/article.pdf|doi-access=free}}
• {{cite book|first=I.|last=Fredholm|title=Oeuvres complètes|publisher=Litos Reprotryck|location=Malmd|year=1955}}

{{Reflist}}

• {{cite journal|last=Netuka|first=Ivan|last2=Veselý|first2=Jiří|title=Ivar Fredholm and the origins of functional analysis|journal=Pokroky Matematiky, Fyziky a Astronomie|volume=22|year=1977|issue=1|pages=10–21|mr=0532508| zbl=0445.01009|language=cs|hdl=10338.dmlcz/137665}}
• {{cite journal|mr=1555258|last=Nörlund|first=N.E.|last2=Carleman|first2=Torsten|author-link2=Torsten Carleman|title=Nous avons le devoir douloureux d'annoncer la mort de notre collaborateur Erik Ivar Fredholm décédé à Mörby le 17 août 1927|language=fr|journal=Acta Math|volume=51|year=1928|issue=1|pages=i–ii|doi=10.1007/bf02545657|doi-access=free}}
• {{cite journal|mr=1555300|last=Zeilon|first=Nils|title=Ivar Fredholm|language=fr|journal=Acta Math|volume=54|year=1930|issue=1|pages=I–XVI|doi=10.1007/bf02547515|doi-access=free}}
• {{cite book|title=Gösta Mittag-Leffler|chapter=The Big Poincaré Campaign|year=2010|pages=543–552|doi=10.1007/978-3-642-11672-8_66|first=Arild|last=Stubhaug|isbn=978-3-642-11671-1}}
• {{cite book|last=Grenholm|first=Åke|title=Försäkringsaktiebolaget Skandia 1855-1955|year=1955|pages=186–188}}

• {{MacTutor Biography|id=Fredholm}}
• {{mathgenealogy|name=Erik Ivar Fredholm|id=20648}}
• Evans M. Harrell II, [http://www.mathphysics.com/opthy/OpHistory.html A Short History of Operator Theory] (2004)

{{Authority control}}

{{DEFAULTSORT:Fredholm, Erik Ivar}}

Category:1866 births

Category:1927 deaths

Category:19th-century Swedish mathematicians

Category:20th-century Swedish mathematicians

Category:People from Stockholm

{{Sweden-mathematician-stub}}