| Gustav Herglotz | |
| Birth Date: | 2 February 1881 |
| Birth Place: | Wallern, Bohemia, Austria-Hungary |
| Death Place: | Göttingen, Germany |
| Nationality: | German |
| Fields: | Physics, Applied mathematics |
| Workplaces: | University of Leipzig |
| Alma Mater: | University of Göttingen LMU Munich |
| Doctoral Advisor: | Hugo von Seeliger Ludwig Boltzmann |
| Doctoral Students: | Emil Artin |
| Known For: | Hergoltz formulas Herglotz–Noether theorem Herglotz-Riesz representation theorem Herglotz–Zagier function Wiechert–Herglotz method |
Gustav Herglotz (2 February 1881 – 22 March 1953) was a German Bohemian physicist best known for his works on the theory of relativity and seismology.
Gustav Ferdinand Joseph Wenzel Herglotz was born in Volary num. 28 to a public notary Gustav Herglotz (also a Doctor of Law) and his wife Maria née Wachtel.[1] The family were Sudeten Germans. He studied mathematics and astronomy at the University of Vienna in 1899, and attended lectures by Ludwig Boltzmann. In this time of study, he had a friendship with his colleagues Paul Ehrenfest, Hans Hahn and Heinrich Tietze. In 1900 he went to the LMU Munich and achieved his Doctorate in 1902 under Hugo von Seeliger. Afterwards, he went to the University of Göttingen, where he habilitated under Felix Klein. In 1904 he became Privatdozent for Astronomy and Mathematics there, and in 1907 Professor extraordinarius. In 1908 he became Professor extraordinarius in Vienna, and in 1909 at the University of Leipzig. From 1925 (until becoming Emeritus in 1947) he again was in Göttingen as the successor of Carl Runge on the chair of applied mathematics. One of his students was Emil Artin.
Herglotz worked in the fields of seismology, number theory, celestial mechanics, theory of electrons, special relativity, general relativity, hydrodynamics, refraction theory.
R3
\forallz\inD f(z) = \int\partial
| λ+z | |
| λ-z |
d\mu(λ).
The theorem also asserts that the probability measure is unique to f.