Fuglede’s theorem and Fuglede’s conjecture stand as the primary contributions of Danish mathematician Bent Fuglede, who spent over four decades shaping the study of functional analysis. Born in Frederiksberg in 1925, he navigated a career that spanned the mid-twentieth century until his death in 2023, leaving a legacy of academic rigor within European mathematical institutions.
Academic Formation
Fuglede attended Skt. Jørgens Gymnasium, graduating in 1943. He continued his education at the University of Copenhagen, where he earned his mag. scient. and cand. mag. degrees in 1948. Under the supervision of Børge Jessen, he completed his doctoral requirements, receiving his dr.phil. in 1960. His early career included a period as a Nordic docent in Lund, Sweden.
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His institutional career began in 1952 as a scientific assistant at Den Polytekniske Læreanstalt. By 1954, he joined the Matematisk Institut at the University of Copenhagen as an amanuensis. He rose to associate professor in 1958 and served as head of department in 1959. Following his doctoral success, he accepted a professorship at the Technical University of Denmark. He returned to the University of Copenhagen as a professor in 1965, maintaining that position until his retirement in 1992.
Research and Membership
His published work includes 'Finely Harmonic Functions' from 1972 and 'Harmonic maps between Riemannian polyhedra,' co-authored with James Eells in 2001. His standing in the field was recognized through his membership in several organizations, including the Royal Danish Academy of Sciences and Letters, the Finnish Academy of Science and Letters, and the Bavarian Academy of Sciences and Humanities. In 2013, he was named a Fellow of the American Mathematical Society.
Honours and Legacy
In recognition of his service to academia and science, Fuglede was appointed Knight of the 1st Class of the Order of the Dannebrog. His personal life involved marriage to the Icelandic archeologist and historian Ólafía Einarsdóttir, with whom he had one child, Einar. Fuglede died in Copenhagen on 7 December 2023, at the age of 98.
Fast facts
- Born: 1925, Frederiksberg
- Died: 7 December 2023, Copenhagen
- Education: University of Copenhagen, Skt. Jørgens Gymnasium
- Major theorem: Fuglede's theorem
- Major conjecture: Fuglede's conjecture
- Notable honor: Knight of the 1st Class of the Order of the Dannebrog
- Fellowship: American Mathematical Society (2013)
- Spouse: Ólafía Einarsdóttir
Questions readers ask
What were Bent Fuglede's primary areas of mathematical research?
He focused on mathematical analysis, with a specific emphasis on functional analysis.
Which academic institutions employed Bent Fuglede?
He held positions at the University of Copenhagen and the Technical University of Denmark.
Achievements
- Knight of the 1st Class of the Order of the Dannebrog
- Held posts at University of Copenhagen and Technical University of Denmark
- Fields: mathematics


