Arthur Rosenthal

Arthur Rosenthal ( born February 24, 1887 in Fuerth, † September 15, 1959 in Lafayette ( Indiana) ) was a German mathematician.

Rosenthal was the son of a merchant, grew up in Munich and studied after graduating from the Wilhelmsgymnasium Munich from 1905 in Munich ( Ludwig- Maximilians- University of Munich and Technical University of Munich, among others, Ferdinand Lindemann and Arnold Sommerfeld) and at the University of Göttingen. In 1909 he was in Munich doctorate ( " studies on the same scale polyhedron " ) and put in the same year there, the teachers exam from. After that, he was until 1911 assistant at the Mathematical Institute of the Technical University of Munich. In 1912 he completed his habilitation at the University of Munich. In World War I he served his military service. In 1920 he became associate professor in Munich. In 1922 he was associate professor of physiology and in 1930 full professor at the Ruprecht -Karls- University of Heidelberg, where he was 1932/33, dean of mathematics and science faculty. As part of the Nazi laws him as a Jew, 1935, the teaching license was revoked, so he was forced into retirement in 1936 and emigrated via the Netherlands from 1939 to the USA. In 1940 he was Lecturer and Research Fellow at the University of Michigan in 1943 and an assistant professor. From 1946 he was an associate professor at the University of New Mexico and from 1947 until his retirement in 1957 Professor at Purdue University in Lafayette. In 1954 he was formally reinstated in Heidelberg.

Rosenthal dealt primarily with geometry, most notably the classification equal -area polyhedra, the Hilbert axiom system of geometry and the theory of real functions, including to measure theory of Constantin Caratheodory. For the Encyclopedia of mathematical sciences, he edited the published in the French edition of Emile Borel posts about real functions.

Simultaneously with Michel Plancherel he proved in 1913 the impossibility of the existence of ergodic mechanical systems, ie, dynamical systems, in which the trajectory of the solution passes through each point of the phase space on the energy surface.

He was a corresponding member of the Heidelberg Academy of Sciences.

Writings

  • Recent studies on functions of real variables, Encyclopedia of Mathematical Sciences, 1924
  • H. Hahn: Set Functions, Albuquerque 1948
  • Introduction to the Theory of Measure and Integration, Stillwater 1955
Lafayette (Indiana) Constantin Carathéodory Émile Borel Ergodicity Mechanics Integrated Authority File
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