operators theory; functional analysis; the problem of moments.
Subject:
Sufficient conditions of V-extremality for the solutions of Hamburger moment problem are found.
Biography
1993–1998 — student of Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (department of theory of functions and functional analysis). 1998–2001 — post-graduate student of Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (department of theory of functions and functional analysis).
Three articles were published.
Main publications:
Kuvshinov M. Yu. V-ekstremalnye resheniya problemy momentov // UMN, 1999, 54(2), 163–164.
Kuvshinov M. Yu. V-ekstremalnye resheniya problemy momentov // Tezisy dokladov mezhdunarodnoi konferentsii "Differentsialnye uravneniya i smezhnye voprosy", posvyaschennoi 100-letiyu so dnya rozhdeniya I. G. Petrovskogo, Moskva, 2001, 225–226.
Kuvshinov M. Yu. O razreshimosti kompleksnoi problemy momentov // Tezisy dokladov 11-i Saratovskoi zimnei shkoly, posvyaschennoi pamyati vydayuschikhsya professorov MGU N. K. Bari, D. E. Menshova, Saratov, 2002, 105–106.
M. Yu. Kuvshinov, “An example of a positive complex sequence that is not a moment complex sequence”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 2, 8–13
2002
2.
M. Yu. Kuvshinov, “On V-Extremal Solutions of the Moment Problem”, Mat. Zametki, 72:3 (2002), 396–407; Math. Notes, 72:3 (2002), 362–372
1999
3.
M. Yu. Kuvshinov, “$V$-extremal solutions of the moment problem”, Uspekhi Mat. Nauk, 54:2(326) (1999), 163–164; Russian Math. Surveys, 54:2 (1999), 443–444