01.01.01 (Real analysis, complex analysis, and functional analysis)
Main publications:
Antonets, Mikhail Aleksandrovich.
Analiz stokhasticheskoi modeli rosta derevev / M. A. Antonets, I. A. Shereshevskii. - Gorkii : IPF, 1989. - 45,[2] s.; 22 sm. - (Prepr. AN SSSR, In-t prikl. fiziki; N 231).
M. A. Antonets, I. A. Shereshevskiĭ, “Analysis of a stochastic model of the growth of trees”, Tr. Mosk. Mat. Obs., 56 (1995), 68–106
1993
2.
M. A. Antonets, I. A. Shereshevskii, “Infinitely divisible probability distributions on lattices”, Algebra i Analiz, 5:6 (1993), 39–68; St. Petersburg Math. J., 5:6 (1994), 1075–1097
M. A. Antonets, “Initial-boundary value problems for evolution equations with a
transmission condition on an unbounded surface”, Dokl. Akad. Nauk, 332:3 (1993), 277–279; Dokl. Math., 48:2 (1994), 286–290
1991
4.
M. A. Antonets, I. A. Shereshevskii, “A model of the growth of trees”, Teor. Veroyatnost. i Primenen., 36:3 (1991), 548–553; Theory Probab. Appl., 36:3 (1991), 565–570
1988
5.
M. A. Antonets, “Representation of the solution of the wave equation in the form of
a path integral”, Dokl. Akad. Nauk SSSR, 298:1 (1988), 11–13; Dokl. Math., 37:1 (1988), 1–3
1985
6.
M. A. Antonec, A. A. Cvetkov, “On the continuous function representation of random variables”, Teor. Veroyatnost. i Primenen., 30:3 (1985), 542–545; Theory Probab. Appl., 30:3 (1986), 577–580
1981
7.
M. A. Antonets, I. A. Shereshevskii, “Weyl quantization on compact Abelian groups and the quantum mechanics of almost periodic systems”, TMF, 48:1 (1981), 49–59; Theoret. and Math. Phys., 48:1 (1981), 597–604
M. A. Antonets, A. A. Tsvetkov, “Projective limits of Borel measures and A. G. Sigalov's theorem on the representation of the algebra of random variables”, Dokl. Akad. Nauk SSSR, 252:5 (1980), 1034–1037
1979
9.
M. A. Antonets, “Classical limit of Weyl quantization”, TMF, 38:3 (1979), 331–344; Theoret. and Math. Phys., 38:3 (1979), 219–228
M. A. Antonets, “The scattering problem in classical mechanics”, Funktsional. Anal. i Prilozhen., 12:2 (1978), 68–69; Funct. Anal. Appl., 12:2 (1978), 131–132
11.
M. A. Antonets, “The classical limit in Weyl quantization”, Funktsional. Anal. i Prilozhen., 12:1 (1978), 62–63; Funct. Anal. Appl., 12:1 (1978), 47–48
M. A. Antonets, “The algebra of Weyl symbols and the Cauchy problem for regular symbols”, Mat. Sb. (N.S.), 107(149):1(9) (1978), 20–36; Math. USSR-Sb., 35:3 (1979), 317–332
M. A. Antonets, “The classical limit of solutions of the Cauchy problem for hypoelliptic Weyl symbols”, Uspekhi Mat. Nauk, 32:5(197) (1977), 169–170
1976
14.
M. A. Antonets, G. M. Zhislin, I. A. Shereshevskii, “On the infiniteness of the discrete spectrum of the energy operator of a system of $n$ particles”, Mat. Sb. (N.S.), 99(141):1 (1976), 34–48; Math. USSR-Sb., 28:1 (1976), 27–39
1975
15.
M. A. Antonets, G. M. Zhislin, I. A. Shereshevskii, “On a reduction in the investigation of the discrete spectrum of many- particle Hamiltonians”, Dokl. Akad. Nauk SSSR, 222:4 (1975), 761–764
1973
16.
M. A. Antonets, G. M. Zhislin, I. A. Shereshevskii, “On the discrete spectrum of the Hamiltonian of an $n$-particle quantum system”, TMF, 16:2 (1973), 235–246; Theoret. and Math. Phys., 16:2 (1973), 800–809
M. A. Antonets, E. I. Gordon, E. A. Gorin, V. I. Sumin, “XVI School on Operator Theory in Functional Spaces”, Uspekhi Mat. Nauk, 47:3(285) (1992), 193–194