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Shatalov Viktor Evgen'evich

Publications in Math-Net.Ru

  1. Differential Equations in Spaces with Asymptotics on Manifolds with Cusp Singularities

    Differ. Uravn., 38:12 (2002),  1664–1672
  2. On an Integral Representation of Resurgent Functions

    Differ. Uravn., 37:9 (2001),  1229–1238
  3. Spectral boundary value problems and elliptic equations on manifolds with singularities

    Differ. Uravn., 34:5 (1998),  695–708
  4. Lefschetz Fixed Point Theorem for Quantized Symplectic Transformations

    Funktsional. Anal. i Prilozhen., 32:4 (1998),  35–48
  5. On general boundary-value problems for elliptic equations

    Mat. Sb., 189:10 (1998),  145–159
  6. Resurgent equations and quasiclassical asymptotics

    Differ. Uravn., 33:10 (1997),  1366–1373
  7. Analytic continuation of fundamental solutions of elliptic equations

    Differ. Uravn., 33:8 (1997),  1123–1133
  8. Alient differential calculus and resurgent equations

    Izv. RAN. Ser. Mat., 61:4 (1997),  167–202
  9. Saddle-point method and resurgent analysis

    Mat. Zametki, 61:2 (1997),  278–296
  10. Method of resurgent analysis in the atomic collision theory

    TMF, 112:2 (1997),  308–323
  11. On the solvability of multidimensional Fuchsian equations in classes of resurgent functions

    Dokl. Akad. Nauk, 351:3 (1996),  309–312
  12. The Atiyah–Bott–Lefschetz fixed point theorem in symplectic geometry

    Dokl. Akad. Nauk, 348:2 (1996),  165–168
  13. Analytic continuation of solutions of integral equations and localization of singularities

    Differ. Uravn., 32:11 (1996),  1544–1553
  14. Relative elliptic theory and the Sobolev problem

    Mat. Sb., 187:11 (1996),  115–144
  15. Singularities of continuation of wave fields

    UFN, 166:12 (1996),  1285–1308
  16. Schwarz potential and singularities of the solutions of the branching Cauchy problem

    Dokl. Akad. Nauk, 341:3 (1995),  307–309
  17. On the continuation of solutions in domains with a piecewise-analytic boundary

    Dokl. Akad. Nauk, 341:1 (1995),  24–27
  18. On a new integral representation of ramified analytic functions

    Izv. RAN. Ser. Mat., 58:3 (1994),  211–224
  19. Transfer of an extension of the algebra of pseudodifferential operators, and some nonlocal elliptic problems

    Mat. Sb., 185:3 (1994),  117–159
  20. The Borel–Laplace transformation and resurgent functions

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1994, no. 3,  37–49
  21. A ramified Cauchy problem for operators that have Hamiltonian rest points

    Dokl. Akad. Nauk, 330:3 (1993),  294–297
  22. On the multiplicative power asymptotics of solutions of wave equations

    Differ. Uravn., 29:11 (1993),  1984–1995
  23. On “balayage inwards” of charges in $\mathbb R^n$

    Mat. Zametki, 54:6 (1993),  90–112
  24. Contact geometry and linear differential equations

    Uspekhi Mat. Nauk, 48:3(291) (1993),  97–134
  25. On a global integral representation of complex-analytic functions on Stein manifolds

    Dokl. Akad. Nauk, 326:5 (1992),  792–795
  26. A class of nonlocal elliptic problems

    Dokl. Akad. Nauk, 323:2 (1992),  245–249
  27. Fourier–Maslov integral operators associated with a bundle, and an extension of the algebra of pseudodifferential operators

    Dokl. Akad. Nauk, 323:1 (1992),  25–29
  28. On the reflection law for the Helmholtz equation

    Dokl. Akad. Nauk, 322:1 (1992),  48–51
  29. Local solvability of the Cauchy problem in the space of complex-analytic branching functions

    Differ. Uravn., 28:12 (1992),  2110–2123
  30. On the problem of the continuation of solutions for elliptic equations

    Differ. Uravn., 28:1 (1992),  152–162
  31. On the Cauchy problem for differential equations in spaces of resurgent functions

    Izv. RAN. Ser. Mat., 56:1 (1992),  75–104
  32. Some problems of integration in bundles

    Mat. Zametki, 51:5 (1992),  114–124
  33. Method of a stationary phase for the Laplace–Radon transforms

    Mat. Zametki, 51:4 (1992),  109–118
  34. On an integral transform of complex-analytic functions

    Trudy Mat. Inst. Steklov., 193 (1992),  174–177
  35. Global solvability of the Cauchy problem in spaces of branching analytic functions

    Dokl. Akad. Nauk SSSR, 321:5 (1991),  910–913
  36. Asymptotic expansions “in the large” of solutions of the complex Cauchy problem with singular initial data

    Dokl. Akad. Nauk SSSR, 321:2 (1991),  250–253
  37. On the concept of an elementary solution in the complex theory of differential equations

    Dokl. Akad. Nauk SSSR, 320:4 (1991),  825–829
  38. The Cauchy problem in classes of resurgent functions

    Dokl. Akad. Nauk SSSR, 320:3 (1991),  551–555
  39. A formula for the asymptotic expansion of an integral in complex analysis

    Dokl. Akad. Nauk SSSR, 317:6 (1991),  1311–1314
  40. Application of Maslov's operator method to a diffraction problem

    Dokl. Akad. Nauk SSSR, 317:4 (1991),  832–834
  41. Local solvability of differential equations in spaces of multivalued analytic functions

    Differ. Uravn., 27:1 (1991),  103–114
  42. Fourier–Maslov transform in the space of multivalued analytic functions

    Mat. Zametki, 49:6 (1991),  107–118
  43. A complex-analytic Cauchy problem in a bounded domain

    Differ. Uravn., 26:1 (1990),  136–147
  44. A new class of integral representations in complex analysis

    Dokl. Akad. Nauk SSSR, 309:2 (1989),  282–285
  45. On the solvability of the first Cousin problem for a class of multivalued analytic functions

    Izv. Akad. Nauk SSSR Ser. Mat., 53:5 (1989),  1056–1072
  46. On an integral representation and a related transformation of analytic functions of several complex variables

    Dokl. Akad. Nauk SSSR, 298:1 (1988),  44–48
  47. The Laplace–Radon integral transform and its application to the inhomogeneous Cauchy problem in a complex space

    Differ. Uravn., 24:1 (1988),  167–174
  48. Differential equations on complex-analytic manifolds, and the Maslov canonical operator

    Uspekhi Mat. Nauk, 43:3(261) (1988),  99–124
  49. Asymptotics of solutions of differential equations on complex varieties

    Mat. Sb. (N.S.), 137(179):3(11) (1988),  381–416
  50. Asymptotic expansions of the solutions of differential equations on complex manifolds

    Dokl. Akad. Nauk SSSR, 295:1 (1987),  38–41
  51. Singularities of differential equations on complex manifolds

    Dokl. Akad. Nauk SSSR, 292:5 (1987),  1058–1062
  52. On asymptotic solutions of differential equations in the case of finite motions of a Hamiltonian field

    Differ. Uravn., 23:2 (1987),  300–308
  53. On an integral transform of complex analytic functions

    Izv. Akad. Nauk SSSR Ser. Mat., 50:5 (1986),  1054–1076
  54. An integral transformation of complex analytic functions

    Dokl. Akad. Nauk SSSR, 280:3 (1985),  553–556
  55. Asymptotic solutions of a complex-analytic characteristic Cauchy problem

    Dokl. Akad. Nauk SSSR, 273:2 (1983),  309–312
  56. Fourier integral operators and the canonical operator

    Uspekhi Mat. Nauk, 36:2(218) (1981),  81–140
  57. On a method of solving equations with simple characteristics

    Mat. Sb. (N.S.), 116(158):1(9) (1981),  29–71
  58. A method of calculating diffraction by a convex body

    Dokl. Akad. Nauk SSSR, 250:2 (1980),  347–349
  59. Global asymptotic expansions in the characteristic Cauchy problem for complex-analytic functions

    Uspekhi Mat. Nauk, 35:4(214) (1980),  181–182
  60. Legendre uniformization of multi-valued analytic functions

    Mat. Sb. (N.S.), 113(155):2(10) (1980),  263–284
  61. Analytic Lagrangian manifolds and Feynman integrals

    Uspekhi Mat. Nauk, 34:6(210) (1979),  194–198
  62. Geometry of Lagrangian manifolds and the canonical Maslov operator in complex phase space

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 8 (1977),  5–39
  63. Some asymptotic expansions in Sobolev problems

    Sibirsk. Mat. Zh., 18:6 (1977),  1393–1410
  64. Asymptotics of the solution of the Cauchy problem for equations with a complex Hamiltonian

    Dokl. Akad. Nauk SSSR, 227:5 (1976),  1060–1063
  65. The $\zeta $-function in an elliptic Sobolev problem

    Differ. Uravn., 10:1 (1974),  171–173
  66. The $t\to 0$ asymptotic regime of the Green's function of the Cauchy problem for the parabolic Sobolev problem

    Uspekhi Mat. Nauk, 29:3(177) (1974),  234
  67. The smooth theory of the canonical Maslov operator on a complex Lagrangian germ

    Uspekhi Mat. Nauk, 29:3(177) (1974),  229–230
  68. Dirichlet series that are composed of the eigenvalues of boundary value problems for an arbitrary second order elliptic differential operator

    Differ. Uravn., 8:7 (1972),  1267–1282
  69. Analytic continuation of the Dirichlet series of elliptic boundary value problems. I, II

    Differ. Uravn., 6:10 (1970),  1844–1850
  70. Analytic continuation of the Dirichlet series of elliptic boundary value problems. I, II

    Differ. Uravn., 6:9 (1970),  1652–1672
  71. Dirichlet series for elliptic operators

    Dokl. Akad. Nauk SSSR, 182:6 (1968),  1280–1282

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