Åke Pleijel

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Åke Vilhelm Carl Pleijel (born August 10, 1913 in Stockholm , † September 24, 1989 in Västerled ) was a Swedish mathematician.

Pleijel studied in Stockholm from 1932, was a teacher for a while and received his doctorate under Torsten Carleman at Stockholm University in 1940 ( Propriétes asymptotiques des fonctions et valeur propres de certain Genealogie de vibrations ). In 1949 he became a professor at the Royal Technical University in Stockholm, then from 1953 at Lund University and finally from 1967 at Uppsala University . In 1979 he retired.

During a stay at the Institute for Advanced Study in Princeton in 1949, Pleijel and S. Minakshisundaram introduced the zeta functions named after both of them to study the Laplace operator on compact Riemannian manifolds. In their analytical treatment they used the heat kernel equation, which had a great influence on later work ( Michael Atiyah , Raoul Bott , Vijay Kumar Patodi and others).

In 1952 he became a member of the Royal Swedish Academy of Sciences .

Web links

Individual evidence

  1. ^ Mathematics Genealogy Project
  2. His successor at KTH Stockholm was Göran Borg
  3. Minakshisundaram, Pleijel "Some properties of the eigenfunctions of the Laplace operator on Riemannian manifolds", Canadian Journal of Mathematics, Volume 1, 1949, pp. 242-256
  4. Carleman dealt with the same case in 1935