Sigurður Helgason (mathematician)
Sigurdur Helgason | |
---|---|
Born | |
Died | 3 December 2023 | (aged 96)
Occupation | Mathematician |
Honors | AMS fellow (2013) Leroy P. Steele Prize (1988) AAA&S member (1970) |
Scientific career | |
Doctoral advisor | Salomon Bochner |
Sigurdur Helgason (
Biography
Sigurdur Helgason was born in Akureyri, Iceland on 30 September 1927. In 1954, he earned a PhD from Princeton University under Salomon Bochner. Helgason became a professor of mathematics at the Massachusetts Institute of Technology in 1965,[1] and he retired from the faculty in 2014.[2]
Helgason received the Børge Jessen Diploma Award of the Danish Mathematical Society in 1982, and the Grand Knight's Cross (Stórriddarakross) of the Icelandic Order of the Falcon in 1991.[2][3] He was winner of the 1988 Leroy P. Steele Prize for Seminal Contributions for his books Groups and Geometric Analysis and Differential Geometry, Lie Groups and Symmetric Spaces.[4] This was followed by the 2008 book Geometric Analysis on Symmetric Spaces. On 31 May 1996, Helgason received an honorary doctorate from the Faculty of Science and Technology at Uppsala University, Sweden.[5]
Helgason was elected a member of the Icelandic Academy of Sciences in 1960, the American Academy of Arts and Sciences in 1970,[6] and the Royal Danish Academy of Sciences and Letters in 1972.[7][3] In 2013, he became a fellow of the American Mathematical Society.[8] He was made an honorary member of the Icelandic Mathematical Society when he turned 70, and a symposium was held in his honor.[3]
Helgason died on 3 December 2023, at the age of 96.[9]
Selected works
Articles
- Helgason, S. (1954). "The derived algebra of a Banach algebra". PMID 16589593.
- Helgason, Sigurdur (1957). "Topologies of group algebras and a theorem of Littlewood". MR 0095428.
- Helgason, Sigurdur (1958). "Lacunary Fourier series on noncommutative groups". MR 0100234.
- Helgason, Sigurdur (1958). "On Riemannian curvature of homogeneous spaces". MR 0108811.
- Helgason, S. (1962). "Some results on invariant theory". MR 0166303.
- Helgason, S. (1963). "Fundamental solutions to invariant differential operators on symmetric spaces". MR 0156919.
- Helgason, S. (1963). "Duality and Radon transforms for symmetric spaces". MR 0158408.
- Helgason, Sigurdur (1964). "A duality in integral geometry; some generalizations of the Radon transform". MR 0166795.
- Helgason, S. (1965). "Radon–Fourier transforms on symmetric spaces and related group representations". MR 0179295.
- Helgason, Sigurdur; MR 0229179.
- Helgason, Sigurdur (1969). "Applications of the Radon transform to representations of semisimple Lie groups". PMID 16591772.
- Helgason, Sigurdur (1973). "Paley-Wiener theorems and surjectivity of invariant differential operators on symmetric spaces and Lie groups". MR 0312158.
- Helgason, Sigurdur (1977). "Invariant differential equations and homogeneous manifolds" (PDF). MR 0445235.
Books
- Differential geometry and symmetric spaces. Academic Press 1962,[10] AMS 2001
- Analysis on Lie groups and homogeneous spaces. AMS 1972
- Differential geometry, Lie groups and symmetric spaces. Academic Press 1978,[11] 7th edn. 1995
- The Radon Transform. Birkhäuser, 1980, 2nd edn. 1999
- Topics in harmonic analysis on homogeneous spaces. Birkhäuser 1981
- Groups and geometric analysis: integral geometry, invariant differential operators and spherical functions. Academic Press 1984,[12] AMS 1994
- Geometric analysis on symmetric spaces. AMS 1994,[13] 2nd. edn. 2008
References
- ^ "Sigurdur Helgason, Professor Emeritus of Mathematics, Dies at 96", math.mit.edu, MIT Department of Mathematics, 6 December 2023, retrieved 2 April 2024
- ^ MIT, retrieved 2 April 2024
- ^ a b c "Íslenska stærðfræðafélagið: Heiðursfélagar" [Icelandic Mathematical Society: Honorary Members], stae.is (in Icelandic), Icelandic Mathematical Society, retrieved 2 April 2024
- ^ "1988 Leroy P. Steele Prize winners", ams.org, AMS, retrieved 2 April 2024
- ^ "Honorary doctorates - Uppsala University, Sweden". Uppsala University. 9 June 2023. Retrieved 2 April 2024.
- ^ "Members: Professor Sigurður Helgason", royalacademy.dk, Royal Danish Academy of Sciences and Letters, archived from the original on 8 August 2022
- ^ "Member directory: Sigurdur Helgason", amacad.org, AAA&S, retrieved 2 April 2024
- ^ "List of Fellows of the American Mathematical Society", ams.org, AMS, retrieved 21 January 2013
- ^ "Andlát: Sigurður Helgason". mbl.is (in Icelandic). Morgunblaðið. 5 December 2023. Retrieved 10 December 2023.
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Sources
- "Curriculum vitae". Massachusetts Institute of Technology. 2005.
- "Sigurdur Helgason". Massachusetts Institute of Technology.