Charles Loewner
Charles Loewner, actually Karel Löwner, German Karl Loewner, (* May 29, 1893 in Lany, † January 8, 1968 in Stanford, California ) was a Czech- American mathematician who worked primarily with function theory and analysis.
Life
Loewner was born the son of a Czech Jewish shopkeeper in Lany in Prague and attended the German School in Prague. In 1912 he began his studies at the German Faculty of Charles University in Prague. At that time he was called in German spelling Karl Loewner. In 1917 he completed his doctorate there in Georg Pick in geometric function theory. After that, he was an assistant at the German Technical University in Prague, before he went to the University of Berlin in 1922. There he rose to the lecturer and went in 1928 as an associate professor in Cologne. In 1930 he went to the Charles University in Prague, where he became a full professor soon. At the German invasion in 1939 in Prague, he was imprisoned, but was able to leave the country with his wife and went to the USA where John von Neumann got him a teaching position at the University of Louisville. In 1944, he worked at Brown University on an important war aerodynamic problems. In 1946 he went to Syracuse University and in 1951 as a professor in Stanford. He was known for his clear and elegant lectures at Stanford, his openness in discussion with students regardless of their semester and his problem seminar, in which many students found inspiration for their diploma and doctoral theses.
Loewner proved in 1923 a special case of the Bieberbach conjecture, which states that the nth coefficient in the power series expansion of a one-one function of magnitude is not greater than n on the unit disk. Loewner proved the conjecture for the coefficients to n = 3 The application of the discovered by him Löwnerschen differential equation formed in 1985 also the basis for the proof of the conjecture by Louis de Branges.
An idea of Oded Schramm Loewner developed his " Schramm - Loewner Evolution " method (SLE ) in stochastic geometry.
By the volume of the smallest Löwner ellipsoid containing a predetermined amount compact in Euclidean space, Löwner ellipsoid this set is called. The common name also Loewner - John ellipsoid (not to be confused with the John ellipsoid ) is based on the in-depth results of Fritz John.
His doctoral Lipman Bers included (still in Prague), Adriano Garsia and Frank PM Pu.
Writings
- Collected Papers, Birkhäuser, 1988 ( Lipman Bers editor )
- Theory of continuous groups, MIT Press 1971, Dover Publ 2008 ( Lecture Transcript by Harley Flanders, Murray Protter )
- Studies of simple conformal mappings of the unit circle, I, Mathematische Annalen, volume 89, 1923, pp. 103-121 ( Loewner differential equation, the case n = 3 of the Bieberbach conjecture ), online