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Birman, Mikhail Shlemovich

Mikhail Shlemovich Birman ( January 17, 1928 , Leningrad - July 2, 2009 , St. Petersburg ) - Soviet and Russian mathematician, doctor of physical and mathematical sciences, professor, specialist in the field of mathematical physics and functional analysis. Honored Scientist of the Russian Federation (1999) [1] .

Mikhail Shlemovich Birman
M.S. Birman.jpg
Date of Birth
Place of BirthLeningrad, USSR
Date of death
Place of death
A country
Scientific fieldmaths
Place of workSaint Petersburg State University
Alma materLSU (matem)
Academic degree
Awards and prizesHonored Science Worker of the Russian Federation.png

Content

Biography

He graduated with honors from the Faculty of Mathematics and Mechanics of Leningrad University (Leningrad State University) in 1950. Student L. V. Kantorovich. Candidate dissertation “Some applications of the theory of extensions of positive definite operators” (1954), doctoral dissertation “On the spectrum of singular boundary value problems” (1962). From 1956 to 2009 - employee (from 1964 - professor) of the Department of Higher Mathematics and Mathematical Physics, Faculty of Physics, Leningrad State University (St. Petersburg State University). He obtained important results in the mathematical theory of scattering and the spectral theory of operators: the Birman – Schwinger principle, the Kato – Birman theory, the Birman – Kerin formula, and the Birman – Solomyak formula . One of the authors of the theory of Birman - Wishek - Crane. Created a world-class scientific school on the spectral theory of operators. Published over 150 scientific papers. Author of two monographs on operator theory (together with M.Z. Solomyak ).

Famous students - B. S. Pavlov .

He was awarded the Leningrad University Prize for the best scientific work (1972), the diploma "For high pedagogical excellence and training of scientific personnel" (1982), and an honorary diploma of the Ministry of Higher Education of the RSFSR (1986). Prize and medal named after P. L. Chebyshev in the field of mathematics and mechanics (Government of St. Petersburg and St. Petersburg Scientific Center, RAS, 2008) [2] .

He taught courses "Higher Algebra", "Linear Operators in Hilbert Space", "Spectral Theory of Differential Operators".

Family

Mother - teacher, father - Solomon Evseevich Birman (1899, Beshenkovichi -?) - civil engineer, professor.

Wife - Tatyana Petrovna Ilyina (1927-2007), mathematician.

Monographs

  1. Birman M. Sh., Solomyak M.Z. Spectral theory of self-adjoint operators in a Hilbert space. - L .: Publishing house of Leningrad State University. 1980.
  2. Birman M. Sh., Solomyak MZ Quantitative analysis in Sobolev imbedding theorems and applications to spectral theory. - American Mathematical Society Translations, Series 2, 114 . AMS, Providence, RI, 1980.

Some Articles

  1. Birman M. Sh. On the spectrum of singular boundary value problems . Mathematical collection . 1961.Vol. 55 (97) , no. 2. s. 125-174.
  2. Birman M. Sh., Crane M.G. On the theory of wave operators and scattering operators. Reports of the USSR Academy of Sciences . 1962.Vol. 144 , no. 3. s 475-478.
  3. Birman M. Sh., Solomyak M.Z. Piecewise polynomial approximations of class functionsWpα {\ displaystyle W_ {p} ^ {\ alpha}}   . Mathematical collection . 1967.Vol. 73 (115) , no. 3. s 331-355.
  4. Birman M.Sh., Solomyak M.Z.L2 {\ displaystyle L_ {2}}   -theory of the Maxwell operator in arbitrary domains. Advances in Mathematical Sciences . 1987.Vol. 42 , no. 6. p. 61-76.
  5. Birman M. Sh., Yafaev D.R. Spectral shift function. The works of M. G. Kerin and their further development. Algebra and analysis . 1992.Vol. 4 , no. 5. p. 1-44.

Notes

  1. ↑ Decree of the President of the Russian Federation of 10.09.1999 N 1215 (unavailable link)
  2. ↑ "2008 - Doctor of Physical and Mathematical Sciences Birman Mikhail Shlemovich" on the official website of the St. Petersburg Scientific Center of the RAS

Links

  • "Birman, Mikhail Shlemovich" on the website of the All-Russian Mathematical Portal .
  • "Mikhail Shlemovich Birman" on the website of POMI RAS .
Source - https://ru.wikipedia.org/w/index.php?title=Byrman ,__Mikhail_Shlemovich&oldid = 98807934


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