Lars Gårding

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Lars Jacob Gårding (born March 7, 1919 in Hedemora ; † July 7, 2014 ) was a Swedish mathematician who dealt with partial differential equations .

Live and act

Gårding studied at Lund University and received his doctorate from Marcel Riesz , whose collected works he published in 1988. He then became a professor of mathematics in Lund. He was several times at the Institute for Advanced Study in Princeton (e.g. 1959/60, 1958, 1958, 1960, 1966/7), where the Swedes Arne Beurling and Lars Hörmander (who studied with him) were professors and where he also worked with Michael Atiyah and Raoul Bott .

His “Gårding inequality” for solutions of linear elliptic partial differential equations comes from his preoccupation with the Dirichlet problem . Gårding also dealt with linear hyperbolic partial differential equations and partial differential equations of the mixed type. With Arthur Strong Wightman he worked on axiomatic quantum field theory ("Gårding-Wightman axioms").

Gårding was also interested in the history of mathematics and wrote a book on the history of mathematics in Sweden.

In 1958 he gave a plenary lecture at the International Congress of Mathematicians in Edinburgh ( Some Trends and Problems in linear partial differential equations ) and in 1970 he was invited speaker at the ICM in Nice ( Sharp fronts and lacunas ). He was a member of several scientific societies and academies, u. a. since 1973 of the American Academy of Arts and Sciences .

Fonts

  • Some Points of Analysis and Their History . AMS, Providence 1997.
  • Encounter with Mathematics . Springer-Verlag 1977, 2nd edition 1983, ISBN 3-540-90229-5 .
  • Cauchy's problem for hyperbolic equations . Lecture Notes Chicago 1957.
  • Mathematics and Mathematicians - Mathematics in Sweden before 1950 . AMS 1998 (Swedish: Matematik och Matematiker. Matematik i Sverige före 1950. Lund University Press, 1994).
  • Singularities in Linear Wave Propagation . Lecture Notes in Mathematics, Springer-Verlag 1987.
  • With Torbjörn Tambour: Algebra for Computer Science . Springer-Verlag 1988, ISBN 3-540-96780-X .
  • The Dirichlet problem . Mathematical Intelligencer Vol. 2, 1979, No. 1.
  • Hyperbolic equations in the twentieth century, in: Michele Audin (ed.), Matériaux pour l'histoire des mathématiques au XXe siècle Actes du colloque à la mémoire de Jean Dieudonné (Nice 1996), SMF 1998

Web links

Individual evidence

  1. z. B. Linear hyperbolic differential equations with constant coefficients . Acta Mathematica Vol. 85, 1950, pp. 1-62, with Bott, Atiyah: Lacunas for hyperbolic differential operators with constant coefficients . Acta Mathematica Vol. 124, 1970, pp. 109-189