Wilhelm Gross (mathematician)

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Wilhelm Gross (born March 24, 1886 in Molln , † October 22, 1918 in Vienna ) was an Austrian mathematician .

Wilhelm Gross attended grammar school in Linz and then studied from 1905 to 1910 at the University of Vienna , where he received his doctorate on May 20, 1910 under Wilhelm Wirtinger . In October 1910 he passed the examination for teaching in mathematics and physics. After a three-semester stay in Göttingen from 1910-12, he was an assistant from 1912 and from 1913 private lecturer at the University of Vienna. In 1918 he received the title of professor there. In the same year he was awarded the Richard Lieben Prize for his work on the calculus of variations. He also received the assurance of an extraordinary position in Czernowitz . He died of the Spanish flu .

Gross worked in various mathematical areas such as function theory , differential equations , measure theory , geometry and invariant theory . In function theory, he is best known for his investigations into singularities of analytical functions. The theorem of Gross (English: Gross star theorem) is named after him, which states that a branch of the inverse function of a function meromorphic in the plane can be analytically extended radially in almost any direction indefinitely. His much-noticed example of an entire function for which every complex number is an asymptotic value is also interesting in this context.

literature

Individual evidence

  1. see R. Nevanlinna , Unique analytical functions , Springer-Verlag, 1953; P. 292
  2. ^ Wilhelm Gross, A whole function for which every complex number is a convergence value. Mathematische Annalen, Volume 79, Issue 1 (1918), pages 201-208. doi : 10.1007 / BF01457182