Boris Moiseevich Levitan
Boris Levitan , Russian Борис Моисеевич Левитан , English transcription Boris Levitan , (born May 25, jul. / 7. June 1914 greg. In Berdyansk , Taurida Gubernia , † 4. April 2004 in Minneapolis ) was a Russian or Ukrainian mathematician , known for his contributions to the theory of almost periodic functions and to the Sturm-Liouville theory and in particular to the theory of inverse problems (Gelfand-Levitan theory).
Life
Boris Levitan was born in Berdjansk in 1914 and grew up in Kharkiv , where he received his doctorate from Naum Ilyich Achijeser in 1938 with the subject of Some Generalizations of Near-Periodic Functions , and in 1940 he obtained his habilitation (Russian doctorate) with the thesis Theory of Generalized Translation Operators . After military service from 1941 to 1944 in World War II, in which he was involved, among other things, in the Battle of Stalingrad , he taught at the Felix Dzerzhinsky Military Academy from 1944 to 1961 and from 1961 at the Lomonosov University . Most recently, he worked at the University of Minnesota .
He received the Order of Lenin .
He is known for the Gelfand-Levitan theory with Israel Gelfand from 1951. The theory solves the problem of the inverse scattering theory for (initially one-dimensional) Sturm-Liouville problems such as the time-independent Schrödinger equation or the wave equation with a scattering potential, i.e. the reconstruction of the potential from the scatter data via an integral equation (Gelfand-Levitan equation). This later became important in the soliton theory. The Gelfand-Levitan theory was expanded in Russia by Vladimir Alexandrowitsch Martschenko , so that it is also called Gelfand-Levitan-Marchenko theory.
Fonts
- Levitan, BM; Zhikov, VV: Almost periodic functions and differential equations. Cambridge University Press, Cambridge-New York, 1982. ISBN 0-521-24407-2
- Levitan, BM: Inverse Sturm-Liouville problems. VNU Science Press, Utrecht 1987. ISBN 90-6764-055-7
- Levitan, BM; Sargsjan, IS: Sturm-Liouville and Dirac operators. Kluwer Academic Publishers Group, Dordrecht, 1991. ISBN 0-7923-0992-8
- Levitan, BM; Sargsjan, IS: Introduction to spectral theory: selfadjoint ordinary differential operators. American Mathematical Society, Providence, RI, 1975.
- Levitan, BM; Gasymov, MG: Determination of a differential equation by two of its spectra, Russian Mathematical Surveys, Volume 19, 1964, pp. 1-63
Web links
- Boris Moissejewitsch Lewitan in the Mathematics Genealogy Project (English)
- obituary
Individual evidence
- ^ Gelfand, Levitan On the determination of a differential equation from its spectral function , American Mathematical Society Translations, Series 2, Volume 1, 1955, pp. 253-304
| personal data | |
|---|---|
| SURNAME | Levitan, Boris Moissejewitsch |
| ALTERNATIVE NAMES | Levitan, Boris; Левитан, Борис Моисеевич (Russian spelling) |
| BRIEF DESCRIPTION | Russian mathematician |
| DATE OF BIRTH | June 7, 1914 |
| PLACE OF BIRTH | Berdyansk |
| DATE OF DEATH | April 4, 2004 |
| Place of death | Minneapolis , USA |