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Shatalov, Viktor Evgen'evich
Statistics Math-Net.Ru
Total publications: 71
Scientific articles: 71

Number of views:
This page:1997
Abstract pages:17586
Full texts:6695
References:1310

https://www.mathnet.ru/eng/person4176
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https://mathscinet.ams.org/mathscinet/MRAuthorID/197497

Publications in Math-Net.Ru Citations
2002
1. B. Yu. Sternin, V. E. Shatalov, “Differential Equations in Spaces with Asymptotics on Manifolds with Cusp Singularities”, Differ. Uravn., 38:12 (2002),  1664–1672  mathnet  mathscinet; Differ. Equ., 38:12 (2002), 1764–1773 6
2001
2. B. Yu. Sternin, V. E. Shatalov, “On an Integral Representation of Resurgent Functions”, Differ. Uravn., 37:9 (2001),  1229–1238  mathnet  mathscinet; Differ. Equ., 37:9 (2001), 1291–1302
1998
3. V. Nazaikinskii, B. Sternin, V. Shatalov, B.-W. Schulze, “Spectral boundary value problems and elliptic equations on manifolds with singularities”, Differ. Uravn., 34:5 (1998),  695–708  mathnet  mathscinet; Differ. Equ., 34:5 (1998), 696–710 3
4. B. Yu. Sternin, V. E. Shatalov, “Lefschetz Fixed Point Theorem for Quantized Symplectic Transformations”, Funktsional. Anal. i Prilozhen., 32:4 (1998),  35–48  mathnet  mathscinet  zmath; Funct. Anal. Appl., 32:4 (1998), 247–257  isi 5
5. B. Yu. Sternin, V. E. Shatalov, B. Schulze, “On general boundary-value problems for elliptic equations”, Mat. Sb., 189:10 (1998),  145–159  mathnet  mathscinet  zmath; Sb. Math., 189:10 (1998), 1573–1586  isi  scopus 23
1997
6. B. Sternin, V. Shatalov, “Resurgent equations and quasiclassical asymptotics”, Differ. Uravn., 33:10 (1997),  1366–1373  mathnet  mathscinet; Differ. Equ., 33:10 (1997), 1372–1379
7. B. Yu. Sternin, V. E. Shatalov, “Analytic continuation of fundamental solutions of elliptic equations”, Differ. Uravn., 33:8 (1997),  1123–1133  mathnet  mathscinet; Differ. Equ., 33:8 (1997), 1130–1140
8. B. Yu. Sternin, V. E. Shatalov, “Alient differential calculus and resurgent equations”, Izv. RAN. Ser. Mat., 61:4 (1997),  167–202  mathnet  mathscinet  zmath; Izv. Math., 61:4 (1997), 843–875  isi  scopus
9. B. Yu. Sternin, V. E. Shatalov, “Saddle-point method and resurgent analysis”, Mat. Zametki, 61:2 (1997),  278–296  mathnet  mathscinet  zmath; Math. Notes, 61:2 (1997), 227–241  isi 3
10. B. Yu. Sternin, V. E. Shatalov, “Method of resurgent analysis in the atomic collision theory”, TMF, 112:2 (1997),  308–323  mathnet  mathscinet  zmath; Theoret. and Math. Phys., 112:2 (1997), 1043–1055  isi
1996
11. B. Yu. Sternin, V. E. Shatalov, “On the solvability of multidimensional Fuchsian equations in classes of resurgent functions”, Dokl. Akad. Nauk, 351:3 (1996),  309–312  mathnet  mathscinet  zmath
12. B. Yu. Sternin, V. E. Shatalov, “The Atiyah–Bott–Lefschetz fixed point theorem in symplectic geometry”, Dokl. Akad. Nauk, 348:2 (1996),  165–168  mathnet  mathscinet  zmath 1
13. B. Yu. Sternin, V. E. Shatalov, “Analytic continuation of solutions of integral equations and localization of singularities”, Differ. Uravn., 32:11 (1996),  1544–1553  mathnet  mathscinet; Differ. Equ., 32:11 (1996), 1541–1549
14. B. Yu. Sternin, V. E. Shatalov, “Relative elliptic theory and the Sobolev problem”, Mat. Sb., 187:11 (1996),  115–144  mathnet  mathscinet  zmath; Sb. Math., 187:11 (1996), 1691–1720  isi  scopus 15
15. A. G. Kyurkchan, B. Yu. Sternin, V. E. Shatalov, “Singularities of continuation of wave fields”, UFN, 166:12 (1996),  1285–1308  mathnet; Phys. Usp., 39:12 (1996), 1221–1242  isi 83
1995
16. B. Yu. Sternin, Kh. S. Shapiro, V. E. Shatalov, “Schwarz potential and singularities of the solutions of the branching Cauchy problem”, Dokl. Akad. Nauk, 341:3 (1995),  307–309  mathnet  mathscinet  zmath
17. T. V. Savina, B. Yu. Sternin, V. E. Shatalov, “On the continuation of solutions in domains with a piecewise-analytic boundary”, Dokl. Akad. Nauk, 341:1 (1995),  24–27  mathnet  mathscinet  zmath
1994
18. B. Yu. Sternin, V. E. Shatalov, “On a new integral representation of ramified analytic functions”, Izv. RAN. Ser. Mat., 58:3 (1994),  211–224  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 44:3 (1995), 645–658  isi
19. B. Yu. Sternin, V. E. Shatalov, “Transfer of an extension of the algebra of pseudodifferential operators, and some nonlocal elliptic problems”, Mat. Sb., 185:3 (1994),  117–159  mathnet  mathscinet  zmath; Russian Acad. Sci. Sb. Math., 81:2 (1995), 363–396  isi 20
20. B. Yu. Sternin, V. E. Shatalov, “The Borel–Laplace transformation and resurgent functions”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1994, no. 3,  37–49  mathnet  mathscinet  zmath 1
1993
21. B. Yu. Sternin, V. E. Shatalov, “A ramified Cauchy problem for operators that have Hamiltonian rest points”, Dokl. Akad. Nauk, 330:3 (1993),  294–297  mathnet  mathscinet  zmath; Dokl. Math., 47:3 (1993), 468–473
22. I. V. Kremleva, B. Yu. Sternin, V. E. Shatalov, “On the multiplicative power asymptotics of solutions of wave equations”, Differ. Uravn., 29:11 (1993),  1984–1995  mathnet  mathscinet; Differ. Equ., 29:11 (1993), 1722–1732
23. B. Yu. Sternin, V. E. Shatalov, “On “balayage inwards” of charges in $\mathbb R^n$”, Mat. Zametki, 54:6 (1993),  90–112  mathnet  mathscinet  zmath; Math. Notes, 54:6 (1993), 1246–1260  isi
24. V. E. Nazaikinskii, B. Yu. Sternin, V. E. Shatalov, “Contact geometry and linear differential equations”, Uspekhi Mat. Nauk, 48:3(291) (1993),  97–134  mathnet  mathscinet  zmath; Russian Math. Surveys, 48:3 (1993), 93–132  isi 1
1992
25. B. Yu. Sternin, V. E. Shatalov, “On a global integral representation of complex-analytic functions on Stein manifolds”, Dokl. Akad. Nauk, 326:5 (1992),  792–795  mathnet  mathscinet  zmath; Dokl. Math., 46:2 (1993), 369–372
26. B. Yu. Sternin, V. E. Shatalov, “A class of nonlocal elliptic problems”, Dokl. Akad. Nauk, 323:2 (1992),  245–249  mathnet  mathscinet  zmath; Dokl. Math., 45:2 (1992), 317–321 2
27. B. Yu. Sternin, V. E. Shatalov, “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  mathnet  mathscinet  zmath; Dokl. Math., 45:2 (1992), 252–256 2
28. T. V. Savina, B. Yu. Sternin, V. E. Shatalov, “On the reflection law for the Helmholtz equation”, Dokl. Akad. Nauk, 322:1 (1992),  48–51  mathnet  mathscinet  zmath; Dokl. Math., 45:1 (1992), 42–45 2
29. B. Yu. Sternin, V. E. Shatalov, “Local solvability of the Cauchy problem in the space of complex-analytic branching functions”, Differ. Uravn., 28:12 (1992),  2110–2123  mathnet  mathscinet; Differ. Equ., 28:12 (1992), 1755–1765
30. B. Yu. Sternin, V. E. Shatalov, “On the problem of the continuation of solutions for elliptic equations”, Differ. Uravn., 28:1 (1992),  152–162  mathnet  mathscinet  zmath; Differ. Equ., 28:1 (1992), 144–153 1
31. B. Yu. Sternin, V. E. Shatalov, “On the Cauchy problem for differential equations in spaces of resurgent functions”, Izv. RAN. Ser. Mat., 56:1 (1992),  75–104  mathnet  mathscinet  zmath; Russian Acad. Sci. Izv. Math., 40:1 (1993), 67–94  isi 2
32. B. Yu. Sternin, V. E. Shatalov, “Some problems of integration in bundles”, Mat. Zametki, 51:5 (1992),  114–124  mathnet  mathscinet  zmath; Math. Notes, 51:5 (1992), 501–509  isi
33. B. Yu. Sternin, V. E. Shatalov, “Method of a stationary phase for the Laplace–Radon transforms”, Mat. Zametki, 51:4 (1992),  109–118  mathnet  mathscinet  zmath; Math. Notes, 51:4 (1992), 401–407  isi
34. B. Yu. Sternin, V. E. Shatalov, “On an integral transform of complex-analytic functions”, Trudy Mat. Inst. Steklov., 193 (1992),  174–177  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 193 (1993), 193–196
1991
35. B. Yu. Sternin, V. E. Shatalov, “Global solvability of the Cauchy problem in spaces of branching analytic functions”, Dokl. Akad. Nauk SSSR, 321:5 (1991),  910–913  mathnet  mathscinet  zmath; Dokl. Math., 44:3 (1992), 836–838
36. M. V. Korovina, B. Yu. Sternin, V. E. Shatalov, “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  mathnet  mathscinet  zmath; Dokl. Math., 44:3 (1992), 674–677
37. B. Yu. Sternin, V. E. Shatalov, “On the concept of an elementary solution in the complex theory of differential equations”, Dokl. Akad. Nauk SSSR, 320:4 (1991),  825–829  mathnet  mathscinet  zmath; Dokl. Math., 44:2 (1992), 567–571 1
38. B. Yu. Sternin, V. E. Shatalov, “The Cauchy problem in classes of resurgent functions”, Dokl. Akad. Nauk SSSR, 320:3 (1991),  551–555  mathnet  mathscinet  zmath; Dokl. Math., 44:2 (1992), 496–500 1
39. B. Yu. Sternin, V. E. Shatalov, “A formula for the asymptotic expansion of an integral in complex analysis”, Dokl. Akad. Nauk SSSR, 317:6 (1991),  1311–1314  mathnet  mathscinet  zmath; Dokl. Math., 43:2 (1991), 624–627
40. V. E. Nazaikinskii, B. Yu. Sternin, V. E. Shatalov, “Application of Maslov's operator method to a diffraction problem”, Dokl. Akad. Nauk SSSR, 317:4 (1991),  832–834  mathnet  mathscinet  zmath; Dokl. Math., 43:2 (1991), 547–549
41. V. E. Nazaikinskii, B. Yu. Sternin, V. E. Shatalov, “Local solvability of differential equations in spaces of multivalued analytic functions”, Differ. Uravn., 27:1 (1991),  103–114  mathnet  mathscinet; Differ. Equ., 27:1 (1991), 82–91
42. B. Yu. Sternin, V. E. Shatalov, “Fourier–Maslov transform in the space of multivalued analytic functions”, Mat. Zametki, 49:6 (1991),  107–118  mathnet  mathscinet  zmath; Math. Notes, 49:6 (1991), 627–635  isi 1
1990
43. B. Yu. Sternin, V. E. Shatalov, “A complex-analytic Cauchy problem in a bounded domain”, Differ. Uravn., 26:1 (1990),  136–147  mathnet  mathscinet; Differ. Equ., 26:1 (1990), 121–131
1989
44. B. Yu. Sternin, V. E. Shatalov, “A new class of integral representations in complex analysis”, Dokl. Akad. Nauk SSSR, 309:2 (1989),  282–285  mathnet  mathscinet  zmath; Dokl. Math., 40:3 (1990), 513–516 1
45. B. Yu. Sternin, V. E. Shatalov, “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  mathnet  mathscinet  zmath; Math. USSR-Izv., 35:2 (1990), 393–409
1988
46. B. Yu. Sternin, V. E. Shatalov, “On an integral representation and a related transformation of analytic functions of several complex variables”, Dokl. Akad. Nauk SSSR, 298:1 (1988),  44–48  mathnet  mathscinet  zmath; Dokl. Math., 37:1 (1988), 38–41 1
47. B. Yu. Sternin, V. E. Shatalov, “The Laplace–Radon integral transform and its application to the inhomogeneous Cauchy problem in a complex space”, Differ. Uravn., 24:1 (1988),  167–174  mathnet  mathscinet; Differ. Equ., 24:1 (1988), 131–137
48. B. Yu. Sternin, V. E. Shatalov, “Differential equations on complex-analytic manifolds, and the Maslov canonical operator”, Uspekhi Mat. Nauk, 43:3(261) (1988),  99–124  mathnet  mathscinet  zmath; Russian Math. Surveys, 43:3 (1988), 117–148  isi 6
49. B. Yu. Sternin, V. E. Shatalov, “Asymptotics of solutions of differential equations on complex varieties”, Mat. Sb. (N.S.), 137(179):3(11) (1988),  381–416  mathnet  mathscinet  zmath; Math. USSR-Sb., 65:2 (1990), 385–422 2
1987
50. B. Yu. Sternin, V. E. Shatalov, “Asymptotic expansions of the solutions of differential equations on complex manifolds”, Dokl. Akad. Nauk SSSR, 295:1 (1987),  38–41  mathnet  mathscinet  zmath; Dokl. Math., 36:1 (1988), 31–34 2
51. B. Yu. Sternin, V. E. Shatalov, “Singularities of differential equations on complex manifolds”, Dokl. Akad. Nauk SSSR, 292:5 (1987),  1058–1062  mathnet  mathscinet  zmath 3
52. B. Yu. Sternin, V. E. Shatalov, “On asymptotic solutions of differential equations in the case of finite motions of a Hamiltonian field”, Differ. Uravn., 23:2 (1987),  300–308  mathnet  mathscinet
1986
53. B. Yu. Sternin, V. E. Shatalov, “On an integral transform of complex analytic functions”, Izv. Akad. Nauk SSSR Ser. Mat., 50:5 (1986),  1054–1076  mathnet  mathscinet  zmath; Math. USSR-Izv., 29:2 (1987), 407–427 4
1985
54. B. Yu. Sternin, V. E. Shatalov, “An integral transformation of complex analytic functions”, Dokl. Akad. Nauk SSSR, 280:3 (1985),  553–556  mathnet  mathscinet  zmath 3
1983
55. V. E. Shatalov, “Asymptotic solutions of a complex-analytic characteristic Cauchy problem”, Dokl. Akad. Nauk SSSR, 273:2 (1983),  309–312  mathnet  mathscinet  zmath 2
1981
56. V. E. Nazaikinskii, V. G. Oshmyan, B. Yu. Sternin, V. E. Shatalov, “Fourier integral operators and the canonical operator”, Uspekhi Mat. Nauk, 36:2(218) (1981),  81–140  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:2 (1981), 93–161  isi 21
57. B. Yu. Sternin, V. E. Shatalov, “On a method of solving equations with simple characteristics”, Mat. Sb. (N.S.), 116(158):1(9) (1981),  29–71  mathnet  mathscinet  zmath; Math. USSR-Sb., 44:1 (1983), 23–59 7
1980
58. B. Yu. Sternin, V. E. Shatalov, “A method of calculating diffraction by a convex body”, Dokl. Akad. Nauk SSSR, 250:2 (1980),  347–349  mathnet  mathscinet 1
59. V. E. Shatalov, “Global asymptotic expansions in the characteristic Cauchy problem for complex-analytic functions”, Uspekhi Mat. Nauk, 35:4(214) (1980),  181–182  mathnet  mathscinet  zmath; Russian Math. Surveys, 35:4 (1980), 192–193  isi 3
60. B. Yu. Sternin, V. E. Shatalov, “Legendre uniformization of multi-valued analytic functions”, Mat. Sb. (N.S.), 113(155):2(10) (1980),  263–284  mathnet  mathscinet  zmath; Math. USSR-Sb., 41:2 (1982), 217–234 10
1979
61. B. Yu. Sternin, V. E. Shatalov, “Analytic Lagrangian manifolds and Feynman integrals”, Uspekhi Mat. Nauk, 34:6(210) (1979),  194–198  mathnet  mathscinet  zmath; Russian Math. Surveys, 34:6 (1979), 235–240 6
1977
62. A. S. Mishchenko, B. Yu. Sternin, V. E. Shatalov, “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  mathnet  zmath; J. Soviet Math., 13:1 (1980), 1–23 3
63. V. E. Shatalov, “Some asymptotic expansions in Sobolev problems”, Sibirsk. Mat. Zh., 18:6 (1977),  1393–1410  mathnet  mathscinet  zmath; Siberian Math. J., 18:6 (1977), 987–1000  isi 1
1976
64. B. Yu. Sternin, V. E. Shatalov, “Asymptotics of the solution of the Cauchy problem for equations with a complex Hamiltonian”, Dokl. Akad. Nauk SSSR, 227:5 (1976),  1060–1063  mathnet  mathscinet  zmath
1974
65. V. E. Shatalov, “The $\zeta $-function in an elliptic Sobolev problem”, Differ. Uravn., 10:1 (1974),  171–173  mathnet  mathscinet  zmath
66. V. E. Shatalov, “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  mathnet  zmath
67. B. Yu. Sternin, V. E. Shatalov, “The smooth theory of the canonical Maslov operator on a complex Lagrangian germ”, Uspekhi Mat. Nauk, 29:3(177) (1974),  229–230  mathnet  mathscinet  zmath 2
1972
68. V. E. Shatalov, “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  mathnet  mathscinet  zmath
1970
69. V. E. Shatalov, I. A. Shishmarev, “Analytic continuation of the Dirichlet series of elliptic boundary value problems. I, II”, Differ. Uravn., 6:10 (1970),  1844–1850  mathnet  mathscinet  zmath
70. V. E. Shatalov, I. A. Shishmarev, “Analytic continuation of the Dirichlet series of elliptic boundary value problems. I, II”, Differ. Uravn., 6:9 (1970),  1652–1672  mathnet  mathscinet  zmath
1968
71. V. E. Shatalov, I. A. Shishmarev, “Dirichlet series for elliptic operators”, Dokl. Akad. Nauk SSSR, 182:6 (1968),  1280–1282  mathnet  mathscinet  zmath

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