Polivanov Mikhail Konstantinovich

Publications in Math-Net.Ru

1. Resolvent approach for two-dimensional scattering problems. Application to the nonstationary Schrödinger problem and KPI equation
   
   TMF, 93:2 (1992),  181–210
2. A remark on the Poisson structure for the KdV equation
   
   Dokl. Akad. Nauk SSSR, 298:2 (1988),  324–328
3. Expansions with respect to squares, symplectic and poisson structures associated with the Sturm–Liouville problem. II
   
   TMF, 75:2 (1988),  170–186
4. Liouville field theory
   
   Trudy Mat. Inst. Steklov., 176 (1987),  86–96
5. Development of the perturbation theory of renormalizations
   
   Trudy Mat. Inst. Steklov., 176 (1987),  56–65
6. Analytic properties of many-particle amplitudes in axiomatic quantum field theory
   
   Trudy Mat. Inst. Steklov., 176 (1987),  45–55
7. Works on quantum field theory at the Steklov Mathematics Institute. Introduction
   
   Trudy Mat. Inst. Steklov., 176 (1987),  30–35
8. Expansions with respect to squares, symplectic and poisson structures associated with the Sturm–Liouville problem. I
   
   TMF, 72:3 (1987),  323–339
9. Analytic properties of multiparticle production amplitudes
   
   TMF, 59:2 (1984),  163–182
10. Singular solutions of the KdV equation and the inverse scattering method
    
    Zap. Nauchn. Sem. LOMI, 133 (1984),  17–37
11. Application of inverse scattering method to singular solutions of nonlinear equations. II
    
    TMF, 54:1 (1983),  23–37
12. Application of inverse scattering method to singular solutions of nonlinear equations. I
    
    TMF, 53:2 (1982),  163–180
13. Analytic properties of many-particle amplitudes
    
    TMF, 52:2 (1982),  163–176
14. Singular solutions of the equation $\Box\varphi+(m^2/2)\exp\varphi=0$ and dynamics of singularities
    
    TMF, 40:2 (1979),  221–234
15. Analytic structure of the $3\to3$ forward amplitude
    
    TMF, 40:2 (1979),  179–193
16. General solutions of the Cauchy problem for the Liouville equation $\varphi_{tt}(t,x)-\varphi_{xx}(t,x)=1/2m\exp\varphi(t,x)$
    
    Dokl. Akad. Nauk SSSR, 243:2 (1978),  318–320
17. Dispersion relation for $3\to 3$ forward amplitude and generalized optical theorem
    
    TMF, 33:2 (1977),  149–173
18. The method of the augmented $S$-matrix in quantum field theory
    
    Trudy Mat. Inst. Steklov., 135 (1975),  186–197
19. Proof of the Bogolyubov–Parasyuk theorem for nonscalar case
    
    TMF, 21:2 (1974),  175–182
20. Simple proof of the Bogolyubov–Parasyuk theorem
    
    TMF, 17:2 (1973),  189–198
21. Axioms of algebra of observables and the field concept
    
    TMF, 16:1 (1973),  3–20
22. Method of extended $S$-matrix in quantum field theory
    
    TMF, 13:1 (1972),  3–40
23. The adiabatic hypothesis in axiomatic field theory
    
    Dokl. Akad. Nauk SSSR, 177:4 (1967),  816–819
24. The part played by counter-terms in the dispersion approach to quantum field theory
    
    Dokl. Akad. Nauk SSSR, 143:5 (1962),  1071–1074
25. On a classical model of indefinite metric
    
    Dokl. Akad. Nauk SSSR, 121:4 (1958),  623–626
26. Processes involved in the production of heavy mesons and hyperons as considered on the basis of the dispersion relations
    
    Dokl. Akad. Nauk SSSR, 118:4 (1958),  679–682
27. Dispersion relations for the scattering of $\mathrm K$-mesons on nucleons
    
    Dokl. Akad. Nauk SSSR, 116:6 (1957),  943–945


28. The Hamiltonian approach in the theory of solitons. L. A. Takhtajan, L. D. Faddeev. M.: Nauka, 1986. 528 p.
    
    Algebra i Analiz, 1:2 (1989),  229–231
29. Yurii Mikhailovich Shirokov (Obituary)
    
    UFN, 134:2 (1981),  355–356
30. Nikolai Nikolaevich Bogolyubov (on the occasion of his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 24:4(148) (1969),  207–215
31. Nikolai Nikolaevich Bogolyubov (on his 60th birthday)
    
    UFN, 98:4 (1969),  741–744