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Levendorskii Sergei Zakharovich

Publications in Math-Net.Ru

  1. Spectral Asymptotics of Laplacians on Horns: the Case of a Rapidly Growing Counting Function

    Funktsional. Anal. i Prilozhen., 32:3 (1998),  70–73
  2. Magnetic Floquet Theory and Spectral Asymptotics for Schrödinger Operators

    Funktsional. Anal. i Prilozhen., 30:4 (1996),  77–80
  3. On a class of elliptic operators with nonpolynomial degeneracy on a boundary

    Sibirsk. Mat. Zh., 33:5 (1992),  91–99
  4. Twisted function algebras on a compact quantum group and their representations

    Algebra i Analiz, 3:2 (1991),  180–198
  5. Quantum Weyl group and multiplicative formula for the $R$-matrix of a simple Lie algebra

    Funktsional. Anal. i Prilozhen., 25:2 (1991),  73–76
  6. An algebra of boundary value problems for a class of pseudodifferential operators of variable order

    Izv. Akad. Nauk SSSR Ser. Mat., 55:1 (1991),  134–158
  7. The algebra of boundary value problems for a class of pseudodifferential operators of variable order

    Dokl. Akad. Nauk SSSR, 313:4 (1990),  795–798
  8. Twisted function algebras on a compact quantum group and their representations

    Funktsional. Anal. i Prilozhen., 24:4 (1990),  80–81
  9. Degenerate elliptic equations and boundary value problems

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 63 (1990),  131–200
  10. The asymptotics of the spectrum of operators that are elliptic in the sense of Douglis–Nirenberg

    Tr. Mosk. Mat. Obs., 52 (1989),  34–57
  11. On types of degenerate elliptic operators

    Mat. Sb., 180:4 (1989),  513–528
  12. Types of degenerate elliptic operators

    Dokl. Akad. Nauk SSSR, 303:1 (1988),  24–28
  13. Coercivity of degenerate elliptic operators

    Dokl. Akad. Nauk SSSR, 298:1 (1988),  29–31
  14. Nonclassical spectral asymptotics in the case of degeneration that is not in a power form

    Differ. Uravn., 24:6 (1988),  1021–1027
  15. On the symbols of degenerate elliptic differential and hypoelliptic pseudodifferential operators

    Izv. Akad. Nauk SSSR Ser. Mat., 52:3 (1988),  541–558
  16. Non-classical spectral asymptotics

    Uspekhi Mat. Nauk, 43:1(259) (1988),  123–157
  17. Asymptotic behavior of the discrete spectrum of the Dirac operator with decreasing potential

    Sibirsk. Mat. Zh., 29:2 (1988),  115–123
  18. On generalizations of the Weyl formula for degenerate operators

    Dokl. Akad. Nauk SSSR, 293:6 (1987),  1297–1301
  19. Asymptotic behavior of the spectrum of pseudodifferential operators of negative order with multiple characteristics

    Dokl. Akad. Nauk SSSR, 288:3 (1986),  540–543
  20. Asymptotics of the spectrum of problems with constraints

    Mat. Sb. (N.S.), 129(171):1 (1986),  73–89
  21. Spectral asymptotics of weakly elliptic systems of pseudodifferential operators

    Sibirsk. Mat. Zh., 27:1 (1986),  111–122
  22. Asymptotic behavior of the spectrum of linear pseudodifferential pencils in the degenerate case

    Dokl. Akad. Nauk SSSR, 285:6 (1985),  1321–1324
  23. Spectral asymptotics of differential operators with operator coefficients and some applications

    Dokl. Akad. Nauk SSSR, 280:6 (1985),  1303–1306
  24. Spectral asymptotics of degenerate systems

    Dokl. Akad. Nauk SSSR, 280:4 (1985),  793–796
  25. Asymptotics of the spectra of degenerate elliptic systems in unbounded regions

    Funktsional. Anal. i Prilozhen., 19:2 (1985),  80–81
  26. The method of approximate spectral projection

    Izv. Akad. Nauk SSSR Ser. Mat., 49:6 (1985),  1177–1228
  27. Asymptotic behavior of the spectrum of problems with constraints

    Dokl. Akad. Nauk SSSR, 276:2 (1984),  282–285
  28. Asymptotic behavior of the spectrum of problems of the form $Au=tBu$ for operators that are elliptic in the Douglis–Nirenberg sense

    Funktsional. Anal. i Prilozhen., 18:3 (1984),  84–85
  29. Asymptotic distribution of the eigenvalues of systems of Navier–Stokes type

    Uspekhi Mat. Nauk, 39:4(238) (1984),  169–170
  30. Asymptotics of the spectrum of linear operator pencils

    Mat. Sb. (N.S.), 124(166):2(6) (1984),  251–271
  31. Spectral asymptotics of nonlinear pencils and operators with nonempty essential spectrum

    Dokl. Akad. Nauk SSSR, 272:6 (1983),  1314–1317
  32. The method of approximate spectral projection as a general method for proving the classical formula for the asymptotic behavior of a spectrum

    Dokl. Akad. Nauk SSSR, 271:2 (1983),  287–291
  33. General calculus of pseudodifferential operators with symbols of power growth

    Differ. Uravn., 19:10 (1983),  1796–1797
  34. Distribution of eigenvalues of systems of the form $Au=tBu$

    Funktsional. Anal. i Prilozhen., 17:2 (1983),  82–83
  35. On a general method studying spectral asymptotics and its application to shell theory

    Dokl. Akad. Nauk SSSR, 266:2 (1982),  276–280
  36. Asymptotic distribution of eigenvalues

    Izv. Akad. Nauk SSSR Ser. Mat., 46:4 (1982),  810–852
  37. Quasiclassical asymptotics of the eigenvalues of systems of pseudodifferential operators

    Dokl. Akad. Nauk SSSR, 256:1 (1981),  32–36
  38. General calculus of pseudodifferential operators and asymptotic properties of the spectrum

    Funktsional. Anal. i Prilozhen., 15:2 (1981),  79–80
  39. Boundary value problems in a half-space for quasielliptic pseudodifferential operators degenerating on the boundary

    Mat. Sb. (N.S.), 111(153):4 (1980),  483–502
  40. Algebras of pseudodifferential operators with discontinuous symbols

    Dokl. Akad. Nauk SSSR, 248:4 (1979),  777–779
  41. Exponential decrease at infinity of the solutions of multidimensional equations of convolution type in cones

    Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 3,  38–44


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