About: Sigurdur Helgason (mathematician)

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Sigurdur Helgason (born 30 September 1927; Icelandic: Sigurður) is an Icelandic mathematician whose research has been devoted to the geometry and analysis on symmetric spaces. In particular, he has used new integral geometric methods to establish fundamental existence theorems for differential equations on symmetric spaces as well as some new results on the representations of their isometry groups. He also introduced a Fourier transform on these spaces and proved the principal theorems for thistransform, the inversion formula, the Plancherel theorem and the analog of the Paley–Wiener theorem.

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rdfs:label	Sigurður Helgason (de) Sigurdur Helgason (es) Sigurður Helgason (fr) Sigurður Helgason (mathematician) (en) Sigurdur Helgason (pt)
rdfs:comment	Sigurður Helgason (anglisiert Sigurdur Helgason; * 30. September 1927 in Akureyri, Island) ist ein isländischer Mathematiker, der sich mit harmonischer Analysis, Differentialgeometrie, Lie-Gruppen, Integralgeometrie und Differentialgleichungen auf Lie-Gruppen beschäftigt. (de) Sigurdur Helgason (Akureyri, ) es un matemático islando-estadounidense, especialista en geometría integral y sus generalizaciones a espacios simétricos. Obtuvo un PhD en 1954 en la Universidad de Princeton, orientado por Salomon Bochner, con la tesis Banach Algebras and Almost Periodic Functions. Es desde 1965 Profesor de matemática del Instituto de Tecnología de Massachusetts. En 1988 recibió el Premio Leroy P. Steele de Exposición Matemática por sus libros, Groups and Geometric Analysis y Differential Geometry, Lie Groups and Symmetric Spaces. Es Académico de la Academia de Artes y Ciencias de Estados Unidos desde 1970. En 2012 se hizo fellow de la American Mathematical Society. (es) Sigurdur Helgason (né le 30 septembre 1927 ; en islandais : Sigurður) est un mathématicien islandais qui travaille sur la géométrie et l'analyse des espaces symétriques. En particulier, il utilise de nouvelles méthodes géométriques intégrales pour établir des théorèmes fondamentaux d'existence d'équations différentielles sur des espaces symétriques ainsi que de nouveaux résultats sur les représentations de leurs groupes d'isométries. Il introduit également une transformée de Fourier sur ces espaces et prouve les principaux théorèmes de cette transformée, la formule d'inversion, le théorème de Plancherel et l'analogue du théorème de Paley-Wiener. (fr) Sigurdur Helgason (Akureyri, 1927) é um matemático islando-estadunidense, especialista em geometria integral e suas generalizações a . Obteve um PhD em 1954 na Universidade de Princeton, orientado por Salomon Bochner, com a tese Banach Algebras and Almost Periodic Functions. É desde 1965 Professor de matemática do Instituto de Tecnologia de Massachusetts. Em 1988 recebeu o Prêmio Leroy P. Steele de Exposição Matemática por seus livros Groups and Geometric Analysis e Differential Geometry, Lie Groups and Symmetric Spaces. É fellow da Academia de Artes e Ciências dos Estados Unidos desde 1970. Em 2012 tornou-se fellow da American Mathematical Society. (pt) Sigurdur Helgason (born 30 September 1927; Icelandic: Sigurður) is an Icelandic mathematician whose research has been devoted to the geometry and analysis on symmetric spaces. In particular, he has used new integral geometric methods to establish fundamental existence theorems for differential equations on symmetric spaces as well as some new results on the representations of their isometry groups. He also introduced a Fourier transform on these spaces and proved the principal theorems for thistransform, the inversion formula, the Plancherel theorem and the analog of the Paley–Wiener theorem. (en)
foaf:name	Sigurdur Helgason (en)
name	Sigurdur Helgason (en)
foaf:depiction
birth place	Akureyri
birth place	Akureyri, Iceland (en)
birth date	1927-09-30 (xsd:date)
dcterms:subject	20th-century mathematicians 21st-century mathematicians People from Akureyri Living people 1927 births Princeton University alumni 20th-century Icelandic scientists Fellows of the American Mathematical Society Massachusetts Institute of Technology School of Science faculty Differential geometers Icelandic mathematicians
Wikipage page ID	23228672 (xsd:integer)
Wikipage revision ID	1115565913 (xsd:integer)
Link from a Wikipage to another Wikipage	20th-century mathematicians 21st-century mathematicians Princeton University People from Akureyri Homogeneous space Uppsala University Integral geometry Lie group Living people Massachusetts Institute of Technology Salomon Bochner Geometric analysis Harmonic analysis Leroy P. Steele Prize Proceedings of the American Mathematical Society Proceedings of the National Academy of Sciences of the United States of America Symmetric space Mathematician 1927 births Princeton University alumni American Academy of Arts and Sciences American Mathematical Society Akureyri Collocation method Differential operator 20th-century Icelandic scientists Fellows of the American Mathematical Society Massachusetts Institute of Technology School of Science faculty Differential geometers Icelandic mathematicians Sweden Honorary degree Differential geometry Bulletin of the AMS Icelanders Plancherel theorem Paley–Wiener theorem Radon Transform Transactions of the American Mathematical Society Symmetric spaces
Link from a Wikipage to an external page	http://www-math.mit.edu/people/profiles/helgason-sigurdur.html%7Ctitle=Sigurdur http://www-math.mit.edu/~helgason/cv.html%7Cyear=2005%7Cpublisher=Massachusetts http://www-math.mit.edu/~helgason/publications.html http://dspace.mit.edu/bitstream/1721.1/26689/1/Helgason-1977.pdf%7Cdoi-access=free
sameAs	Sigurdur Helgason (mathematician) Sigurdur Helgason (mathematician) Sigurdur Helgason (mathematician) Sigurdur Helgason (mathematician) Sigurdur Helgason (mathematician) Sigurdur Helgason (mathematician) Sigurdur Helgason (mathematician) Sigurdur Helgason (mathematician) Sigurdur Helgason (mathematician) Sigurdur Helgason (mathematician)
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