Subbaramiah Minakshisundaram

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Subbaramiah Minakshisundaram (born October 12, 1913 in Trichur , † August 13, 1968 in Kerala ) was an Indian mathematician.

Minakshisundaram received his PhD from the University of Madras , where he was a student of K. Ananda Rau . He then taught privately for a while (on the mediation of the mathematician and Jesuit C. Racine (1897-1976)) before he became a lecturer at Andhra University . From 1946 to 1948 he was at the invitation of Marshall Stone at the Institute for Advanced Study and then professor at Andhra University.

As a student of Rau (who in turn was a student of Godfrey Harold Hardy ), Mikashisundaram initially dealt with the summation of Dirichlet series and eigenfunction developments, i.e. topics that Hardy also pursued in Cambridge and Oxford. Through the influence of Racine and MR Siddiqui (who later became president of the Pakistani Academy of Sciences, who was a student of Leon Lichtenstein ), he began to be interested in the initial value problem of parabolic partial differential equations. In Princeton, in collaboration with the Swedish mathematician Åke Pleijel (1913–1989), in 1949 he introduced the zeta function, named after both, constructed from the eigenvalues ​​for the Laplace equation on compact Riemannian manifolds, and they recognized the connection with solutions to the heat kernel.

With K. Chandrasekharan he researched the analytical properties of the Riesz mean with applications to multiple Fourier series.

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Individual evidence

  1. A student of Jacques Hadamard and Élie Cartan , with whom he received his doctorate in 1934. He had a great influence on the development of mathematics in India.
  2. ^ A pupil of Torsten Carleman , with whom he received his doctorate in Stockholm in 1940. He was later a professor in Uppsala
  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