Nazaikinskii Vladimir Evgen'evich

Publications in Math-Net.Ru

1. Asymptotics of long waves generated by time-harmonic spatially localized sources in basins with gently sloping shores
   
   Zh. Vychisl. Mat. Mat. Fiz., 65:5 (2025),  625–640
2. Averaging method for problems on quasiclassical asymptotics
   
   CMFD, 70:1 (2024),  53–76
3. On the arguments of Jacobians in local expressions of the Maslov canonical operator
   
   Mat. Zametki, 116:6 (2024),  1264–1276
4. Nonlinear Effects and Run-up of Coastal Waves Generated by Billiards with Semi-rigid Walls in the Framework of Shallow Water Theory
   
   Trudy Mat. Inst. Steklova, 322 (2023),  111–123
5. Lagrangian manifolds and the construction of asymptotics for (pseudo)differential equations with localized right-hand sides
   
   TMF, 214:1 (2023),  3–29
6. On an elliptic operator degenerating on the boundary
   
   Funktsional. Anal. i Prilozhen., 56:4 (2022),  109–112
7. Restricted partions: the polynomial case
   
   Funktsional. Anal. i Prilozhen., 56:4 (2022),  80–92
8. Canonical Operator on Punctured Lagrangian Manifolds and Commutation with Pseudodifferential Operators: Local Theory
   
   Mat. Zametki, 112:5 (2022),  733–751
9. $C^*$-Algebras of Transmission Problems and Elliptic Boundary Value Problems with Shift Operators
   
   Mat. Zametki, 111:5 (2022),  692–716
10. Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for two-dimensional standing coastal waves
    
    Algebra i Analiz, 33:2 (2021),  5–34
11. Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations
    
    Uspekhi Mat. Nauk, 76:5(461) (2021),  3–80
12. Representations of Bessel functions via the Maslov canonical operator
    
    TMF, 208:2 (2021),  196–217
13. Lagrangian Manifolds and Efficient Short-Wave Asymptotics in a Neighborhood of a Caustic Cusp
    
    Mat. Zametki, 108:3 (2020),  334–359
14. Uniformization of Equations with Bessel-Type Boundary Degeneration and Semiclassical Asymptotics
    
    Mat. Zametki, 107:5 (2020),  780–786
15. Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media
    
    Zh. Vychisl. Mat. Mat. Fiz., 60:8 (2020),  1394–1407
16. Asymptotic eigenfunctions of the operator $\nabla D(x)\nabla$ defined in a two-dimensional domain and degenerating on its boundary and billiards with semi-rigid walls
    
    Differ. Uravn., 55:5 (2019),  660–672
17. Maslov's Canonical Operator in Problems on Localized Asymptotic Solutions of Hyperbolic Equations and Systems
    
    Mat. Zametki, 106:3 (2019),  424–435
18. Asymptotics, Related to Billiards with Semi-Rigid Walls, of Eigenfunctions of the $\nabla D(x)\nabla$ Operator in Dimension 2 and Trapped Coastal Waves
    
    Mat. Zametki, 105:5 (2019),  792–797
19. Nonstandard Lagrangian Singularities and Asymptotic Eigenfunctions of the Degenerating Operator $-\frac{d}{dx}D(x)\frac{d}{dx}$
    
    Trudy Mat. Inst. Steklova, 306 (2019),  83–99
20. Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems
    
    TMF, 201:3 (2019),  382–414
21. Asymptotic solutions of the wave equation with degenerate velocity and with right-hand side localized in space and time
    
    Zh. Mat. Fiz. Anal. Geom., 14:4 (2018),  393–405
22. Typical Shape of Elements in an Arithmetical Semigroup with Exponentially Growing Prime Counting Function and Deviations from the Bose–Einstein Distribution
    
    Mat. Zametki, 104:6 (2018),  939–942
23. Simple Asymptotics for a Generalized Wave Equation with Degenerating Velocity and Their Applications in the Linear Long Wave Run-Up Problem
    
    Mat. Zametki, 104:4 (2018),  483–504
24. One Approach to the Computation of Asymptotics of Integrals of Rapidly Varying Functions
    
    Mat. Zametki, 103:5 (2018),  680–692
25. New integral representations of the Maslov canonical operator in singular charts
    
    Izv. RAN. Ser. Mat., 81:2 (2017),  53–96
26. On the Asymptotics of a Bessel-Type Integral Having Applications in Wave Run-Up Theory
    
    Mat. Zametki, 102:6 (2017),  828–835
27. Punctured Lagrangian manifolds and asymptotic solutions of linear water wave equations with localized initial conditions
    
    Mat. Zametki, 101:6 (2017),  936–943
28. Uniform Asymptotics of the Boundary Values of the Solution in a Linear Problem on the Run-Up of Waves on a Shallow Beach
    
    Mat. Zametki, 101:5 (2017),  700–715
29. On the Asymptotics of the Element Counting Function in an Additive Arithmetic Semigroup with Exponential Counting Function of Prime Generators
    
    Funktsional. Anal. i Prilozhen., 50:4 (2016),  55–75
30. Volume and Entropy in Abstract Analytic Number Theory and Thermodynamics
    
    Mat. Zametki, 100:6 (2016),  855–867
31. Characteristics with Singularities and the Boundary Values of the Asymptotic Solution of the Cauchy Problem for a Degenerate Wave Equation
    
    Mat. Zametki, 100:5 (2016),  710–731
32. Remark on the Inverse Abstract Prime Number Theorem
    
    Mat. Zametki, 100:4 (2016),  627–629
33. Conjugate Variables in Analytic Number Theory. Phase Space and Lagrangian Manifolds
    
    Mat. Zametki, 100:3 (2016),  421–428
34. Bose–Einstein Distribution as a Problem of Analytic Number Theory: The Case of Less than Two Degrees of Freedom
    
    Mat. Zametki, 100:2 (2016),  245–255
35. Disinformation Theory for Bosonic Computational Media
    
    Mat. Zametki, 99:6 (2016),  895–900
36. Remark on the Notion of Optimal Data Compression in Information Theory
    
    Mat. Zametki, 99:4 (2016),  616–618
37. On the Rate of Convergence to the Bose–Einstein Distribution
    
    Mat. Zametki, 99:1 (2016),  95–109
38. Relative Index Theorem in $K$-Homology
    
    Funktsional. Anal. i Prilozhen., 49:4 (2015),  85–90
39. The Maslov Canonical Operator on Lagrangian Manifolds in the Phase Space Corresponding to a Wave Equation Degenerating on the Boundary
    
    Mat. Zametki, 96:2 (2014),  261–276
40. On the Representation of Localized Functions in $\mathbb R^2$ by Maslov's Canonical Operator
    
    Mat. Zametki, 96:1 (2014),  88–100
41. Maslov's canonical operator, Hörmander's formula, and localization of the Berry–Balazs solution in the theory of wave beams
    
    TMF, 180:2 (2014),  162–188
42. New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics
    
    TMF, 177:3 (2013),  355–386
43. Phase Space Geometry for a Wave Equation Degenerating on the Boundary of the Domain
    
    Mat. Zametki, 92:1 (2012),  153–156
44. The Aharonov–Bohm effect for massless Dirac fermions and the spectral flow of Dirac-type operators with classical boundary conditions
    
    TMF, 172:3 (2012),  437–453
45. Degenerate Wave Equation with Localized Initial Data: Asymptotic Solutions Corresponding to Various Self-Adjoint Extensions
    
    Mat. Zametki, 89:5 (2011),  797–800
46. Asymptotic solutions of the two-dimensional model wave equation with degenerating velocity and localized initial data
    
    Algebra i Analiz, 22:6 (2010),  67–90
47. On the Poincaré isomorphism in $K$-theory on manifolds with edges
    
    CMFD, 34 (2009),  109–120
48. Atiyah–Bott index on stratified manifolds
    
    CMFD, 34 (2009),  100–108
49. Noncommutative geometry and classification of elliptic operators
    
    CMFD, 29 (2008),  131–164
50. On the Distribution of Integer Random Variables Satisfying Two Linear Relations
    
    Mat. Zametki, 84:1 (2008),  69–98
51. On the Distribution of Integer Random Variables Related by a Certain Linear Inequality. III
    
    Mat. Zametki, 83:6 (2008),  880–898
52. On the Distribution of Integer Random Variables Related by Two Linear Inequalities: I
    
    Mat. Zametki, 83:4 (2008),  559–580
53. On the Distribution of Integer Random Variables Related by a Certain Linear Inequality. II
    
    Mat. Zametki, 83:3 (2008),  381–401
54. On the Distribution of Integer Random Variables Related by a Certain Linear Inequality. I
    
    Mat. Zametki, 83:2 (2008),  232–263
55. Homotopy classification of elliptic operators on stratified manifolds
    
    Izv. RAN. Ser. Mat., 71:6 (2007),  91–118
56. On a Problem in Probability Theory
    
    Mat. Zametki, 81:6 (2007),  879–892
57. Tunnel Canonical Operator in Thermodynamics
    
    Funktsional. Anal. i Prilozhen., 40:3 (2006),  12–29
58. On the index of elliptic operators on manifolds with edges
    
    Mat. Sb., 196:9 (2005),  23–58
59. Operator Algebras on Manifolds with Isolated Singularities
    
    Differ. Uravn., 39:1 (2003),  92–104
60. The Index Locality Principle in Elliptic Theory
    
    Funktsional. Anal. i Prilozhen., 35:2 (2001),  37–52
61. The index of Fourier integral operators on manifolds with conical singularities
    
    Izv. RAN. Ser. Mat., 65:2 (2001),  127–154
62. Spectral boundary value problems and elliptic equations on manifolds with singularities
    
    Differ. Uravn., 34:5 (1998),  695–708
63. Contact geometry and linear differential equations
    
    Uspekhi Mat. Nauk, 48:3(291) (1993),  97–134
64. Application of Maslov's operator method to a diffraction problem
    
    Dokl. Akad. Nauk SSSR, 317:4 (1991),  832–834
65. Local solvability of differential equations in spaces of multivalued analytic functions
    
    Differ. Uravn., 27:1 (1991),  103–114
66. Asymptotics for equations with singularities in the characteristics
    
    Izv. Akad. Nauk SSSR Ser. Mat., 45:5 (1981),  1049–1087
67. Fourier integral operators and the canonical operator
    
    Uspekhi Mat. Nauk, 36:2(218) (1981),  81–140
68. Algebras with general commutation relations and their applications. I. Pseudodifferential equations with increasing coefficients
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 13 (1979),  5–144
69. On the quantization of rapidly oscillating symbols
    
    Mat. Sb. (N.S.), 106(148):2(6) (1978),  183–213
70. A computational algorithm for a quadratic programming problem of large dimension
    
    Zh. Vychisl. Mat. Mat. Fiz., 18:5 (1978),  1119–1128


71. Andrei Igorevich Shafarevich (on his sixtieth birthday)
    
    Uspekhi Mat. Nauk, 79:3(477) (2024),  185–188