Anatoly Georgievich Wituschkin
Anatoli Georgievich Vitushkin ( Russian Анато́лий Гео́ргиевич Виту́шкин , English transcription Anatoli Georgievich Vitushkin; born June 25, 1931 in Moscow ; † May 9, 2004 ibid) was a Russian mathematician who dealt with analysis .
Wituschkin was a student of Andrei Kolmogorow at Lomonossow University , from which he graduated in 1954. In 1958 he received his doctorate from Kolmogorow (Estimation of the complexity of a tabulation problem). Since 1964 he was at the Steklow Institute in Moscow and taught at the Lomonossow University (Faculty of Mathematics and Mechanics).
Wituschkin dealt with real and complex analysis and approximation theory. A conjecture of his on the subadditivity of the analytical capacity (a term by Lars Ahlfors , whose fertility for the approximation theory Wituschkin recognized) was proven by Xavier Tolsa 2003. Guy David proved another assumption made by Wituschkin in 1998.
He made important contributions to the 13th Hilbert problem through his investigation of the approximation of continuous functions in several variables by those with fewer variables (a problem on which Kolmogorow and his student Vladimir Arnold also worked). He also dealt with the complexity of the algorithms for calculating functions and their approximation.
Further works concern the complex geometry (real hypersurfaces in complex spaces of higher dimensions and their behavior under holomorphic images ).
In 1974 he gave a plenary lecture at the ICM in Vancouver (Coding of signals with finite spectrum and sound recording problems) and in 1966 he was invited speaker at the ICM in Moscow ( On the possibility of representing a function by superposing functions with a smaller number of variables ).
literature
- Vituschkin: Half a century as one day. In: Russian Mathematical Surveys. Volume 57, 2002, pp. 199–220, also in Bolibruch, Osipov, Sinai (editor) Mathematical Events of the Twentieth Century , Springer 2006, p. 449
Web links
Individual evidence
- ↑ published in Russian Mathematical Surveys 1967
| personal data | |
|---|---|
| SURNAME | Wituschkin, Anatoly Georgievich |
| ALTERNATIVE NAMES | Витушкин, Анатолий Георгиевич (Russian); Vitushkin, Anatoli Georgievich (English transcription) |
| BRIEF DESCRIPTION | Russian mathematician |
| DATE OF BIRTH | June 25, 1931 |
| PLACE OF BIRTH | Moscow |
| DATE OF DEATH | May 9, 2004 |
| Place of death | Moscow |