David Drasin

from Wikipedia, the free encyclopedia

David Drasin (born November 3, 1940 in Philadelphia ) is an American mathematician who deals with function theory.

Drasin studied at Temple University (Bachelor in 1962) and received his doctorate in 1966 from Cornell University under Wolfgang Fuchs ( An integral Tauberian theorem and other topics ). He was then Assistant Professor, from 1969 Associate Professor and from 1974 Professor at Purdue University . In 2005 he was visiting professor at the University of Kiel and in 2005/2006 at the University of Helsinki .

In 1976 he gave a complete solution to the inverse problem of the Nevanlinna theory (value distribution theory), which was set up by Rolf Nevanlinna in 1929. In the 1930s, it was examined by Egon Ullrich , among others, in addition to Nevanlinna , and later by Oswald Teichmüller , Hans Wittich and Le Van Thiem (1918–1991) and other mathematicians. Anatolii Asirovich Goldberg (1930–2008) solved it for the special case of a finite number of exceptional values . It was designed for entire functions in 1962 by Wolfgang Fuchs and Walter Haymansolved. The problem consists in the question of the existence of a meromorphic function for given values ​​of the exception values ​​and associated defect values ​​and branch values ​​(with constraints from the Nevanlinna theory). According to Drasin, this can be answered positively.

In 1994 he was invited speaker at the International Congress of Mathematicians (ICM) in Zurich . He has been co-editor of the Annals of the Finnish Academy of Sciences since 1996, is co-editor of Computational Methods in Function Theory, and was co-editor of the American Mathematical Monthly from 1968 to 1971 . From 2002 to 2004 he was Program Director Analysis for the National Science Foundation .

He is married and has three children.

Web links

References

  1. ^ Mathematics Genealogy Project
  2. ↑ Drasin The inverse problem in Nevanlinna theory , Acta Mathematica Vol. 138, 1976, pp. 83-151. Updated in: Drasin On Nevanlinnas inverse problem , Complex Variables Theory Application, Vol. 37, 1998, pp. 123-143
  3. ↑ Nevanlinna La theorems de Picard-Borel et la theorie des fonctions meromorphes , Gauthier-Villars, 1929. Nevanlinna also solved a special case.
  4. ^ Goldberg, Ostrovskii Value distribution of meromorphic functions , American Mathematical Society 2008, chapter 7.
  5. ^ Hayman Meromorphic functions , Clarendon Press 1964, chapter 4
  6. ↑ Nevanlinna herself was, according to Olli Lehto, Sublime Worlds - The Life of Rolf Nevanlinna , Birkhäuser 2000, p. 80, disappointed by the inelegacy of the proof
personal data
SURNAME Drasin, David
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH November 3, 1940
PLACE OF BIRTH Philadelphia