01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
21.01.1947
E-mail:
;
Keywords:
spectral theory of linear operators; inverse problem of spectral analysis; regularized traces of discrete operators; eigenfunction expansions for PDO; Laplace operator; orthogonal functions and polynomials; analytical perturbation theory.
Main publications:
Tomin N. G. Primenenie interpolyatsii lineinykh operatorov k voprosam skhodimosti ryadov koeffitsientov Fure po klassicheskim ortogonalnym mnogochlenam // Dokl. AN SSSR, 1973, 212(5), 1074–1077.
Tomin N. G. Analiticheskaya forma izometricheskikh operatorov v vesovykh gilbertovykh prostranstvakh // UMN, 1994, 49(2), 173–174.
Tomin N. G. O nekotorykh formulakh pervogo regulyarizovannogo sleda dlya diskretnykh operatorov // Matem. zametki, 2001, 70(1), 109–122.
N. G. Tomin, I. V. Tomina, “An abstract formula for regularized traces of discrete operators and its applications”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 193 (2021), 142–152
2001
2.
N. G. Tomin, “Several Formulas for the First Regularized Trace of Discrete Operators”, Mat. Zametki, 70:1 (2001), 109–122; Math. Notes, 70:1 (2001), 97–109
N. G. Tomin, “Analytic form of isometric operators in weighted Hilbert spaces”, Uspekhi Mat. Nauk, 49:2(296) (1994), 173–174; Russian Math. Surveys, 49:2 (1994), 182–183
1973
4.
N. G. Tomin, “An application of the interpolation of linear operators to questions of the convergence of series of Fourier coefficients with respect to classical orthogonal polynomials”, Dokl. Akad. Nauk SSSR, 212:5 (1973), 1074–1077
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