Edit Profile (opens in new tab) Nazaikinskii, Vladimir E. Compute Distance To: Compute Author ID: nazaikinskii.vladimir-e Published as: Nazaikinskii, V. E.; Nazaĭkinskiĭ, V. E.; Nazaikinskii, Vladimir; Nazaikinskii, Vladimir E.; Nazaikinskij, V. E.; Nazaikinskiĭ, V. E.; Nazaikinskij, Vladimir more...less External Links: ORCID · Math-Net.Ru Documents Indexed: 141 Publications since 1978, including 8 Books 1 Contribution as Editor Co-Authors: 35 Co-Authors with 129 Joint Publications 746 Co-Co-Authors all top 5 Co-Authors 12 single-authored 51 Sternin, Boris Yur’evich 40 Dobrokhotov, Sergei Yurievich 21 Savin, Anton Yur’evich 19 Maslov, Viktor Pavlovich 16 Schulze, Bert-Wolfgang 15 Shatalov, Victor E. 9 Minenkov, Dmitrii S. 7 Tirozzi, Brunello 6 Anikin, A. Yu. 5 Chernyshev, Vsevolod L. 5 Shafarevich, Andreĭ Igorevich 5 Tsvetkova, Anna V. 3 Makrakis, George N. 3 Tolchennikov, Anton A. 2 Karasev, Mikhail Vladimirovich 2 Kurdyumov, I. V. 2 Kuzmina, Liudmila I. 2 Lozhnikov, D. A. 2 Mosolova, M. V. 2 Osipov, Yuri V. 1 Anikin, Anatoly Y. 1 Bedrikovetsky, Pavel G. 1 Dubnov, Vladimir L. 1 Hilberdink, Titus W. 1 Karaev, A. D. 1 Karaeva, D. A. 1 Katsnelson, Mikhail I. 1 Manuĭlov, Vladimir Markovich 1 Mishchenko, Aleksandr Sergeevich 1 Oshmyan, Victor G. 1 Polyanin, Andrei Dmitrievich 1 Rouleux, Michel 1 Schafarevich, A. I. 1 Sipailo, P. A. 1 Tudorovskii, T. Ya. all top 5 Serials 29 Mathematical Notes 23 Doklady Mathematics 20 Russian Journal of Mathematical Physics 5 Theoretical and Mathematical Physics 5 Differential Equations 4 Functional Analysis and its Applications 3 Russian Mathematical Surveys 3 Journal of Mathematical Sciences (New York) 3 Izvestiya: Mathematics 2 Differential Equations 2 St. Petersburg Mathematical Journal 2 Differential and Integral Equations and Their Applications 1 Journal of Applied Mathematics and Mechanics 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Journal of Soviet Mathematics 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematics of the USSR. Izvestiya 1 Soviet Mathematics. Doklady 1 Annals of Global Analysis and Geometry 1 Computational Mathematics and Mathematical Physics 1 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 1 Mathematics of the USSR, Sbornik 1 SIAM Journal on Applied Mathematics 1 U.S.S.R. Computational Mathematics and Mathematical Physics 1 Sbornik: Mathematics 1 Abstract and Applied Analysis 1 Journal of Mathematical Physics, Analysis, Geometry 1 De Gruyter Expositions in Mathematics 1 De Gruyter Studies in Mathematics 1 Proceedings of the Steklov Institute of Mathematics 1 Mathematical Modelling of Natural Phenomena 1 Pseudo-Differential Operators. Theory and Applications 1 Operator Theory: Advances and Applications 1 Trends in Mathematics all top 5 Fields 75 Partial differential equations (35-XX) 60 Global analysis, analysis on manifolds (58-XX) 24 Operator theory (47-XX) 21 Quantum theory (81-XX) 18 Differential geometry (53-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Fluid mechanics (76-XX) 10 Functional analysis (46-XX) 9 Number theory (11-XX) 8 \(K\)-theory (19-XX) 8 Dynamical systems and ergodic theory (37-XX) 7 Probability theory and stochastic processes (60-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Ordinary differential equations (34-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Numerical analysis (65-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Relativity and gravitational theory (83-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 102 Publications have been cited 628 times in 306 Documents Cited by ▼ Year ▼ On the distribution of integer random variables related by a certain linear inequality. I. Zbl 1150.82017Maslov, V. P.; Nazaikinskii, V. E. 46 2008 On the distribution of integer random variables related by a certain linear inequality. II. Zbl 1153.82001Maslov, V. P.; Nazaikinskii, V. E. 29 2008 Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu. 26 2008 New formulas for Maslov’s canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics. Zbl 1298.81091Dobrokhotov, S. Yu.; Makrakis, G. N.; Nazaikinskii, V. E.; Tudorovskii, T. Ya. 22 2013 Asymptotic solution of the one-dimensional wave equation with localized initial data and with degenerating velocity. I. Zbl 1387.35404Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B. 22 2010 Handbook of linear partial differential equations for engineers and scientists. 2nd edition. Zbl 1329.35001Polyanin, Andrei D.; Nazaikinskii, Vladimir E. 18 2016 New integral representations of the Maslov canonical operator in singular charts. Zbl 1369.81033Dobrokhotov, Sergei Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I. 18 2017 Punctured Lagrangian manifolds and asymptotic solutions of the linear water wave equations with localized initial conditions. Zbl 06769034Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 18 2017 Methods of noncommutative analysis: theory and applications. Zbl 0876.47015Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu. 16 1995 On the distribution of integer random variables satisfying two linear relations. Zbl 1219.60031Maslov, V. P.; Nazaikinskii, V. E. 16 2008 On the distribution of integer random variables related by a certain linear inequality. III. Zbl 1202.82006Maslov, V. P.; Nazaikinskii, V. E. 16 2008 Two-dimensional wave equation with degeneration on the curvilinear boundary of the domain and asymptotic solutions with localized initial data. Zbl 1320.35180Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B. 13 2013 On the asymptotics of the number of states for the Bose-Maslov gas. Zbl 1285.82048Nazaikinskii, V. E. 13 2012 On the index of elliptic operators on manifolds with edges. Zbl 1138.58310Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu; Schulze, B.-W. 12 2005 On the rate of convergence to the Bose-Einstein distribution. Zbl 1338.82051Maslov, V. P.; Nazaikinskii, V. E. 11 2016 Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds. Zbl 1357.82068Maslov, V. P.; Nazaikinskii, V. E. 11 2016 Tunnel canonical operator in thermodynamics. Zbl 1118.82040Maslov, V. P.; Nazaikinskii, V. E. 11 2006 Phase space geometry for a wave equation degenerating on the boundary of the domain. Zbl 1308.58017Nazaikinskii, V. E. 10 2012 Elliptic theory on singular manifolds. Zbl 1084.58007Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu. 9 2006 The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary. Zbl 1330.53108Nazaikinskii, V. E. 9 2014 Maslov’s canonical operator, Hörmander’s formula, and localization of the Berry-Balazs solution in the theory of wave beams. Zbl 1323.81031Dobrokhotov, S. Yu.; Makrakis, G. N.; Nazaikinskii, V. E. 9 2014 On the entropy of a Bose-Maslov gas. Zbl 1269.82061Nazaikinskii, V. E. 9 2013 On the distribution of integer random variables related by two linear inequalities. I. Zbl 1154.60076Maslov, V. P.; Nazaikinskii, V. E. 9 2008 Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems. Zbl 1441.81091Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 9 2019 Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation. Zbl 1362.35170Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 8 2016 Fourier integral operators and the canonical operator. Zbl 0507.58043Nazaĭkinskiĭ, V. E.; Oshmyan, V. G.; Sternin, B. Yu.; Shatalov, V. E. 8 1981 Simple asymptotics for a generalized wave equation with degenerating velocity and their applications in the linear long wave run-up problem. Zbl 1420.35151Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 8 2018 Propagation of a linear wave created by a spatially localized perturbation in a regular lattice and punctured Lagrangian manifolds. Zbl 1376.37114Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 7 2017 Disinformation theory for bosonic computational media. Zbl 1349.82022Maslov, V. P.; Nazaikinskii, V. E. 7 2016 On the Bose-Maslov statistics in the case of infinitely many degrees of freedom. Zbl 1357.11095Minenkov, D. S.; Nazaĭkinskiĭ, V. E.; Chernyshev, V. L. 6 2016 On the asymptotics of the element counting function in an additive arithmetic semigroup with exponential counting function of prime generators. Zbl 1366.11105Minenkov, D. S.; Nazaikinskiĭ, V. E.; Chernyshev, V. L. 6 2016 Quantization methods in differential equations. Zbl 1079.81040Nazaikinskii, V. E.; Schulze, B. W.; Sternin, B. Y. 6 2002 On the asymptotics of a Bessel-type integral having applications in wave run-up theory. Zbl 1384.42001Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 6 2017 Efficient formulas for the Maslov canonical operator near a simple caustic. Zbl 1406.81036Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 6 2018 Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. Zbl 1345.53083Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I. 5 2016 Bose-Einstein distribution as a problem of analytic number theory: the case of less than two degrees of freedom. Zbl 1357.82067Maslov, V. P.; Nazaikinskii, V. E. 5 2016 Asymptotics of operator and pseudo-differential equations. Transl. from the Russian. Zbl 0702.35002Maslov, V. P.; Nazaĭkinskiĭ, V. E. 5 1988 Contact geometry and linear differential equations. Zbl 0813.58003Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu. 5 1992 On the quantization of rapidly oscillating symbols. Zbl 0391.47036Karasev, M. V.; Nazaikinskii, V. E. 5 1978 On the quantization of rapidly oscillating symbols. Zbl 0417.47025Karasev, M. V.; Nazaĭkinskiĭ, V. E. 5 1978 Asymptotic solutions of the two-dimensional model wave equation with degenerating velocity and localized initial data. Zbl 1230.35057Dobrokhotov, S. Yu.; Nazaĭkinskiĭ, V. E.; Tirozzi, B. 5 2011 Asymptotic solutions of 2D wave equations with variable velocity and localized right-hand side. Zbl 1192.35110Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B. 5 2010 The Maslov canonical operator on a pair of Lagrangian manifolds and asymptotic solutions of stationary equations with localized right-hand sides. Zbl 1377.35062Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Rouleux, M. 5 2017 Pseudodifferential operators on stratified manifolds. Zbl 1133.58023Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 5 2007 Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 5 2007 Uniform formulas for the asymptotic solution of a linear pseudodifferential equation describing water waves generated by a localized source. Zbl 1448.35391Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. 5 2020 The index locality principle in elliptic theory. Zbl 1001.58017Nazaĭkinskiĭ, V. E.; Sternin, B. Yu. 4 2001 Relative elliptic theory. Zbl 1090.58016Nazaikinskii, Vladimir; Sternin, Boris 4 2004 Functions of noncommuting operators in an asymptotic problem for a 2D wave equation with variable velocity and localized right-hand side. Zbl 1263.35154Dobrokhotov, Sergey; Minenkov, Dmitrii; Nazaikinskii, Vladimir; Tirozzi, Brunello 4 2013 Volume and entropy in abstract analytic number theory and thermodynamics. Zbl 1362.82025Maslov, V. P.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 4 2016 Homotopy classification of elliptic operators on stratified manifolds. Zbl 1154.58013Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu 4 2007 Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. Zbl 1205.58017Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris 4 2008 Asymptotics of linear water waves generated by a localized source near the focal points on the leading edge. Zbl 1432.76203Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. 4 2017 Analogue of Maslov’s canonical operator for localized functions and its applications to the description of rapidly decaying asymptotic solutions of hyperbolic equations and systems. Zbl 1407.35028Nazaikinskii, V. E.; Shafarevich, A. I. 4 2018 Asymptotics, related to billiards with semi-rigid walls, of eigenfunctions of the \(\nabla D(x)\nabla\) operator in dimension 2 and trapped coastal waves. Zbl 1426.37049Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 4 2019 Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp. Zbl 1483.53094Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 4 2020 Surgery and the relative index in elliptic theory. Zbl 1133.58014Nazaikinskii, V. E.; Sternin, B. Yu. 3 2006 Algebras with general commutation relations and their applications. I: Pseudodifferential equations with increasing coefficients. Zbl 0482.58028Maslov, V. P.; Nazaĭkinskiĭ, V. E. 3 1979 On a homogenization method for differential operators with oscillating coefficients. Zbl 1326.35022Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B. 3 2015 The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac-type operators with classical boundary conditions. Zbl 1282.82064Katsnelson, M. I.; Nazaikinskii, V. E. 3 2012 Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach. Zbl 1372.35180Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. 3 2017 The localization problem in index theory of elliptic operators. Zbl 1297.58001Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris 3 2014 Elliptic theory on manifolds with corners. II: homotopy classification and \(K\)-homology. Zbl 1205.58018Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris 3 2008 On the homotopy classification of elliptic operators on manifolds with corners. Zbl 1156.58011Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 3 2007 Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. Zbl 1432.35025Nazaikinskii, V. E.; Shafarevich, A. I. 3 2019 Uniformization of equations with Bessel-type boundary degeneration and semiclassical asymptotics. Zbl 1455.76019Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 3 2020 On the representation of localized functions in \(\mathbb R^2\) by the Maslov canonical operator. Zbl 1320.53100Nazaikinskii, V. E. 2 2014 The complex Lagrangian germ and the canonical operator. Zbl 0920.58051Dubnov, Vladimir L.; Maslov, Victor P.; Nazaikinskii, Vladimir E. 2 1995 Lefschetz theory on manifolds with singularities. Zbl 1118.58010Nazaikinskii, Vladimir; Sternin, Boris 2 2006 Degenerate wave equation with localized initial data: asymptotic solutions corresponding to various self-adjoint extensions. Zbl 1234.35149Nazaikinskii, V. E. 2 2011 Simple exact and asymptotic solutions of the 1D run-up problem over a slowly varying (quasiplanar) bottom. Zbl 1329.35246Dobrokhotov, S. Yu.; Minenkov, D. S.; Nazaikinskii, V. E.; Tirozzi, B. 2 2016 Homotopy classification of elliptic operators on stratified manifolds. Zbl 1327.58025Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 2 2006 Fourier integrals and a new representation of Maslov’s canonical operator near caustics. Zbl 1320.81058Dobrokhotov, S. Yu.; Makrakis, G.; Nazaikinskii, V. E. 2 2014 Guillemin transform and Toeplitz representations for operators on singular manifolds. Zbl 1071.46039Nazaikinskii, V. E.; Rozenblum, G.; Savin, A. Yu.; Sternin, B. Yu. 2 2005 On a problem in probability theory. Zbl 1145.60016Maslov, V. P.; Nazaikinskii, V. E. 2 2007 Waves on the free surface described by linearized equations of hydrodynamics with localized right-hand sides. Zbl 1388.76028Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 2 2018 On a deep bed filtration problem with finite blocking time. Zbl 1418.35261Kuzmina, L. I.; Nazaikinskii, V. E.; Osipov, Yu. V. 2 2019 Nonstandard Lagrangian singularities and asymptotic eigenfunctions of the degenerating operator \(- \frac{d}{dx}D (x)\frac{d}{dx}\). Zbl 1452.34085Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 2 2019 The Atiyah-Bott-Lefschetz theorem for manifolds with conical singularities. Zbl 0981.58016Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 1 1999 Operator algebras on manifolds with isolated singularities. Zbl 1181.35358Nazaikinskii, V. E.; Sternin, B. Yu. 1 2003 Remark on the inverse abstract prime number theorem. Zbl 1354.11062Minenkov, D. S.; Nazaikinskiĭ, V. E. 1 2016 Noncommutative geometry and classification of elliptic operators. Zbl 1301.58015Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2010 Atiyah-Bott index on stratified manifolds. Zbl 1301.58013Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2010 On the Poincaré isomorphism in \(K\)-theory on manifolds with edges. Zbl 1305.19003Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2010 Asymptotics for equations with singularities in the characteristics. I. Zbl 0484.35009Maslov, V. P.; Nazaĭkinskiĭ, V. E. 1 1981 Numerical algorithm for problems of quadratic programming of high dimensionality. Zbl 0404.65036Kurdyumov, I. V.; Mosolova, M. V.; Nazaikinskii, V. E. 1 1978 On the Green operator in relative elliptic theory. Zbl 1125.58302Nazaikinskii, V. E.; Sternin, B. Yu. 1 2003 Maslov’s canonical operator for degenerate hyperbolic equations. Zbl 1316.35207Nazaikinskii, V. E. 1 2014 Surgery and the relative index in elliptic theory. Zbl 1001.58016Nazaikinskii, Vladimir; Sternin, Boris 1 2001 Spectral boundary value problems and elliptic equations on singular manifolds. Zbl 1040.58500Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W. 1 1998 Pseudodifferential operators on manifolds with singularities and localization. Zbl 1272.58012Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W. 1 2005 Localization and surgery in the index theory of elliptic operators. Zbl 1054.58014Nazaikinskij, V. E.; Sternin, B. Yu. 1 2000 A remark on elliptic theory on manifolds with isolated singularities. Zbl 1052.58030Nazaikinskiĭ, V. E.; Sternin, B. Yu. 1 2000 On the index of nonlocal elliptic operators. Zbl 1160.58010Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2008 Homogenization method in the problem of long wave propagation from a localized source in a basin over an uneven bottom. Zbl 1418.76043Karaeva, D. A.; Karaev, A. D.; Nazaikinskii, V. E. 1 2018 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. Zbl 1418.37094Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 1 2019 Method for the analysis of long water waves taking into account reflection from a gently sloping beach. Zbl 1440.76014Lozhnikov, D. A.; Nazaĭkinskiĭ, V. E. 1 2017 Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media. Zbl 1450.35119Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 1 2020 Asymptotics of the number of restricted partitions. Zbl 1469.11387Chernyshev, V. L.; Hilberdink, T. W.; Nazaikinskii, V. E. 1 2020 Canonical operator on punctured Lagrangian manifolds. Zbl 1462.35480Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Schafarevich, A. I. 1 2021 Canonical operator on punctured Lagrangian manifolds. Zbl 1462.35480Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Schafarevich, A. I. 1 2021 Representation of Bessel functions by the Maslov canonical operator. Zbl 1471.81033Dobrokhotov, S. Yu.; Minenkov, D. S.; Nazaikinskii, V. E. 1 2021 Efficient asymptotics of solutions to the Cauchy problem with localized initial data for linear systems of differential and pseudodifferential equations. Zbl 07505219Dobrokhotov, Sergey Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I. 1 2021 Uniform formulas for the asymptotic solution of a linear pseudodifferential equation describing water waves generated by a localized source. Zbl 1448.35391Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. 5 2020 Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp. Zbl 1483.53094Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 4 2020 Uniformization of equations with Bessel-type boundary degeneration and semiclassical asymptotics. Zbl 1455.76019Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 3 2020 Efficient asymptotics in problems on the propagation of waves generated by localized sources in linear multidimensional inhomogeneous and dispersive media. Zbl 1450.35119Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 1 2020 Asymptotics of the number of restricted partitions. Zbl 1469.11387Chernyshev, V. L.; Hilberdink, T. W.; Nazaikinskii, V. E. 1 2020 Uniform asymptotic solution in the form of an Airy function for semiclassical bound states in one-dimensional and radially symmetric problems. Zbl 1441.81091Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 9 2019 Asymptotics, related to billiards with semi-rigid walls, of eigenfunctions of the \(\nabla D(x)\nabla\) operator in dimension 2 and trapped coastal waves. Zbl 1426.37049Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 4 2019 Maslov’s canonical operator in problems on localized asymptotic solutions of hyperbolic equations and systems. Zbl 1432.35025Nazaikinskii, V. E.; Shafarevich, A. I. 3 2019 On a deep bed filtration problem with finite blocking time. Zbl 1418.35261Kuzmina, L. I.; Nazaikinskii, V. E.; Osipov, Yu. V. 2 2019 Nonstandard Lagrangian singularities and asymptotic eigenfunctions of the degenerating operator \(- \frac{d}{dx}D (x)\frac{d}{dx}\). Zbl 1452.34085Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 2 2019 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. Zbl 1418.37094Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tsvetkova, A. V. 1 2019 Simple asymptotics for a generalized wave equation with degenerating velocity and their applications in the linear long wave run-up problem. Zbl 1420.35151Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 8 2018 Efficient formulas for the Maslov canonical operator near a simple caustic. Zbl 1406.81036Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 6 2018 Analogue of Maslov’s canonical operator for localized functions and its applications to the description of rapidly decaying asymptotic solutions of hyperbolic equations and systems. Zbl 1407.35028Nazaikinskii, V. E.; Shafarevich, A. I. 4 2018 Waves on the free surface described by linearized equations of hydrodynamics with localized right-hand sides. Zbl 1388.76028Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 2 2018 Homogenization method in the problem of long wave propagation from a localized source in a basin over an uneven bottom. Zbl 1418.76043Karaeva, D. A.; Karaev, A. D.; Nazaikinskii, V. E. 1 2018 New integral representations of the Maslov canonical operator in singular charts. Zbl 1369.81033Dobrokhotov, Sergei Yu.; Nazaikinskii, Vladimir E.; Shafarevich, Andrei I. 18 2017 Punctured Lagrangian manifolds and asymptotic solutions of the linear water wave equations with localized initial conditions. Zbl 06769034Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 18 2017 Propagation of a linear wave created by a spatially localized perturbation in a regular lattice and punctured Lagrangian manifolds. Zbl 1376.37114Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 7 2017 On the asymptotics of a Bessel-type integral having applications in wave run-up theory. Zbl 1384.42001Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 6 2017 The Maslov canonical operator on a pair of Lagrangian manifolds and asymptotic solutions of stationary equations with localized right-hand sides. Zbl 1377.35062Anikin, A. Yu.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Rouleux, M. 5 2017 Asymptotics of linear water waves generated by a localized source near the focal points on the leading edge. Zbl 1432.76203Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. 4 2017 Uniform asymptotics of the boundary values of the solution in a linear problem on the run-up of waves on a shallow beach. Zbl 1372.35180Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tolchennikov, A. A. 3 2017 Method for the analysis of long water waves taking into account reflection from a gently sloping beach. Zbl 1440.76014Lozhnikov, D. A.; Nazaĭkinskiĭ, V. E. 1 2017 Handbook of linear partial differential equations for engineers and scientists. 2nd edition. Zbl 1329.35001Polyanin, Andrei D.; Nazaikinskii, Vladimir E. 18 2016 On the rate of convergence to the Bose-Einstein distribution. Zbl 1338.82051Maslov, V. P.; Nazaikinskii, V. E. 11 2016 Conjugate variables in analytic number theory. Phase space and Lagrangian manifolds. Zbl 1357.82068Maslov, V. P.; Nazaikinskii, V. E. 11 2016 Characteristics with singularities and the boundary values of the asymptotic solution of the Cauchy problem for a degenerate wave equation. Zbl 1362.35170Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 8 2016 Disinformation theory for bosonic computational media. Zbl 1349.82022Maslov, V. P.; Nazaikinskii, V. E. 7 2016 On the Bose-Maslov statistics in the case of infinitely many degrees of freedom. Zbl 1357.11095Minenkov, D. S.; Nazaĭkinskiĭ, V. E.; Chernyshev, V. L. 6 2016 On the asymptotics of the element counting function in an additive arithmetic semigroup with exponential counting function of prime generators. Zbl 1366.11105Minenkov, D. S.; Nazaikinskiĭ, V. E.; Chernyshev, V. L. 6 2016 Maslov’s canonical operator in arbitrary coordinates on the Lagrangian manifold. Zbl 1345.53083Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Shafarevich, A. I. 5 2016 Bose-Einstein distribution as a problem of analytic number theory: the case of less than two degrees of freedom. Zbl 1357.82067Maslov, V. P.; Nazaikinskii, V. E. 5 2016 Volume and entropy in abstract analytic number theory and thermodynamics. Zbl 1362.82025Maslov, V. P.; Dobrokhotov, S. Yu.; Nazaikinskii, V. E. 4 2016 Simple exact and asymptotic solutions of the 1D run-up problem over a slowly varying (quasiplanar) bottom. Zbl 1329.35246Dobrokhotov, S. Yu.; Minenkov, D. S.; Nazaikinskii, V. E.; Tirozzi, B. 2 2016 Remark on the inverse abstract prime number theorem. Zbl 1354.11062Minenkov, D. S.; Nazaikinskiĭ, V. E. 1 2016 On a homogenization method for differential operators with oscillating coefficients. Zbl 1326.35022Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B. 3 2015 The Maslov canonical operator on Lagrangian manifolds in the phase space corresponding to a wave equation degenerating on the boundary. Zbl 1330.53108Nazaikinskii, V. E. 9 2014 Maslov’s canonical operator, Hörmander’s formula, and localization of the Berry-Balazs solution in the theory of wave beams. Zbl 1323.81031Dobrokhotov, S. Yu.; Makrakis, G. N.; Nazaikinskii, V. E. 9 2014 The localization problem in index theory of elliptic operators. Zbl 1297.58001Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris 3 2014 On the representation of localized functions in \(\mathbb R^2\) by the Maslov canonical operator. Zbl 1320.53100Nazaikinskii, V. E. 2 2014 Fourier integrals and a new representation of Maslov’s canonical operator near caustics. Zbl 1320.81058Dobrokhotov, S. Yu.; Makrakis, G.; Nazaikinskii, V. E. 2 2014 Maslov’s canonical operator for degenerate hyperbolic equations. Zbl 1316.35207Nazaikinskii, V. E. 1 2014 New formulas for Maslov’s canonical operator in a neighborhood of focal points and caustics in two-dimensional semiclassical asymptotics. Zbl 1298.81091Dobrokhotov, S. Yu.; Makrakis, G. N.; Nazaikinskii, V. E.; Tudorovskii, T. Ya. 22 2013 Two-dimensional wave equation with degeneration on the curvilinear boundary of the domain and asymptotic solutions with localized initial data. Zbl 1320.35180Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B. 13 2013 On the entropy of a Bose-Maslov gas. Zbl 1269.82061Nazaikinskii, V. E. 9 2013 Functions of noncommuting operators in an asymptotic problem for a 2D wave equation with variable velocity and localized right-hand side. Zbl 1263.35154Dobrokhotov, Sergey; Minenkov, Dmitrii; Nazaikinskii, Vladimir; Tirozzi, Brunello 4 2013 On the asymptotics of the number of states for the Bose-Maslov gas. Zbl 1285.82048Nazaikinskii, V. E. 13 2012 Phase space geometry for a wave equation degenerating on the boundary of the domain. Zbl 1308.58017Nazaikinskii, V. E. 10 2012 The Aharonov-Bohm effect for massless Dirac fermions and the spectral flow of Dirac-type operators with classical boundary conditions. Zbl 1282.82064Katsnelson, M. I.; Nazaikinskii, V. E. 3 2012 Asymptotic solutions of the two-dimensional model wave equation with degenerating velocity and localized initial data. Zbl 1230.35057Dobrokhotov, S. Yu.; Nazaĭkinskiĭ, V. E.; Tirozzi, B. 5 2011 Degenerate wave equation with localized initial data: asymptotic solutions corresponding to various self-adjoint extensions. Zbl 1234.35149Nazaikinskii, V. E. 2 2011 Asymptotic solution of the one-dimensional wave equation with localized initial data and with degenerating velocity. I. Zbl 1387.35404Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B. 22 2010 Asymptotic solutions of 2D wave equations with variable velocity and localized right-hand side. Zbl 1192.35110Dobrokhotov, S. Yu.; Nazaikinskii, V. E.; Tirozzi, B. 5 2010 Noncommutative geometry and classification of elliptic operators. Zbl 1301.58015Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2010 Atiyah-Bott index on stratified manifolds. Zbl 1301.58013Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2010 On the Poincaré isomorphism in \(K\)-theory on manifolds with edges. Zbl 1305.19003Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2010 On the distribution of integer random variables related by a certain linear inequality. I. Zbl 1150.82017Maslov, V. P.; Nazaikinskii, V. E. 46 2008 On the distribution of integer random variables related by a certain linear inequality. II. Zbl 1153.82001Maslov, V. P.; Nazaikinskii, V. E. 29 2008 Elliptic theory and noncommutative geometry. Nonlocal elliptic operators. Zbl 1158.58013Nazaikinskii, V. E.; Savin, Anton Yu.; Sternin, Boris Yu. 26 2008 On the distribution of integer random variables satisfying two linear relations. Zbl 1219.60031Maslov, V. P.; Nazaikinskii, V. E. 16 2008 On the distribution of integer random variables related by a certain linear inequality. III. Zbl 1202.82006Maslov, V. P.; Nazaikinskii, V. E. 16 2008 On the distribution of integer random variables related by two linear inequalities. I. Zbl 1154.60076Maslov, V. P.; Nazaikinskii, V. E. 9 2008 Elliptic theory on manifolds with corners. I: Dual manifolds and pseudodifferential operators. Zbl 1205.58017Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris 4 2008 Elliptic theory on manifolds with corners. II: homotopy classification and \(K\)-homology. Zbl 1205.58018Nazaikinskii, Vladimir; Savin, Anton; Sternin, Boris 3 2008 On the index of nonlocal elliptic operators. Zbl 1160.58010Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu. 1 2008 Pseudodifferential operators on stratified manifolds. Zbl 1133.58023Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 5 2007 Pseudodifferential operators on stratified manifolds. II. Zbl 1140.58008Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 5 2007 Homotopy classification of elliptic operators on stratified manifolds. Zbl 1154.58013Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu 4 2007 On the homotopy classification of elliptic operators on manifolds with corners. Zbl 1156.58011Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 3 2007 On a problem in probability theory. Zbl 1145.60016Maslov, V. P.; Nazaikinskii, V. E. 2 2007 Tunnel canonical operator in thermodynamics. Zbl 1118.82040Maslov, V. P.; Nazaikinskii, V. E. 11 2006 Elliptic theory on singular manifolds. Zbl 1084.58007Nazaikinskii, V. E.; Savin, A. Yu.; Schulze, Bert-Wolfgang; Sternin, B. Yu. 9 2006 Surgery and the relative index in elliptic theory. Zbl 1133.58014Nazaikinskii, V. E.; Sternin, B. Yu. 3 2006 Lefschetz theory on manifolds with singularities. Zbl 1118.58010Nazaikinskii, Vladimir; Sternin, Boris 2 2006 Homotopy classification of elliptic operators on stratified manifolds. Zbl 1327.58025Nazaikinskii, V. E.; Savin, A. Yu.; Sternin, B. Yu. 2 2006 On the index of elliptic operators on manifolds with edges. Zbl 1138.58310Nazaikinskii, V. E.; Savin, A. Yu; Sternin, B. Yu; Schulze, B.-W. 12 2005 Guillemin transform and Toeplitz representations for operators on singular manifolds. Zbl 1071.46039Nazaikinskii, V. E.; Rozenblum, G.; Savin, A. Yu.; Sternin, B. Yu. 2 2005 Pseudodifferential operators on manifolds with singularities and localization. Zbl 1272.58012Nazaĭkinskiĭ, V. E.; Savin, A. Yu.; Sternin, B. Yu.; Schulze, B.-W. 1 2005 Relative elliptic theory. Zbl 1090.58016Nazaikinskii, Vladimir; Sternin, Boris 4 2004 Operator algebras on manifolds with isolated singularities. Zbl 1181.35358Nazaikinskii, V. E.; Sternin, B. Yu. 1 2003 On the Green operator in relative elliptic theory. Zbl 1125.58302Nazaikinskii, V. E.; Sternin, B. Yu. 1 2003 Quantization methods in differential equations. Zbl 1079.81040Nazaikinskii, V. E.; Schulze, B. W.; Sternin, B. Y. 6 2002 The index locality principle in elliptic theory. Zbl 1001.58017Nazaĭkinskiĭ, V. E.; Sternin, B. Yu. 4 2001 Surgery and the relative index in elliptic theory. Zbl 1001.58016Nazaikinskii, Vladimir; Sternin, Boris 1 2001 Localization and surgery in the index theory of elliptic operators. Zbl 1054.58014Nazaikinskij, V. E.; Sternin, B. Yu. 1 2000 A remark on elliptic theory on manifolds with isolated singularities. Zbl 1052.58030Nazaikinskiĭ, V. E.; Sternin, B. Yu. 1 2000 The Atiyah-Bott-Lefschetz theorem for manifolds with conical singularities. Zbl 0981.58016Nazaikinskii, Vladimir; Schulze, Bert-Wolfgang; Sternin, Boris; Shatalov, Victor 1 1999 Spectral boundary value problems and elliptic equations on singular manifolds. Zbl 1040.58500Nazaĭkinskiĭ, V. E.; Sternin, B. Yu.; Shatalov, V. E.; Schulze, B.-W. 1 1998 Methods of noncommutative analysis: theory and applications. Zbl 0876.47015Nazaikinskii, V. E.; Shatalov, V. E.; Sternin, B. Yu. 16 1995 The complex Lagrangian germ and the canonical operator. Zbl 0920.58051Dubnov, Vladimir L.; Maslov, Victor P.; Nazaikinskii, Vladimir E. 2 1995 Contact geometry and linear differential equations. Zbl 0813.58003Nazaĭkinskiĭ, V. E.; Shatalov, V. E.; Sternin, B. Yu. 5 1992 Asymptotics of operator and pseudo-differential equations. Transl. from the Russian. Zbl 0702.35002Maslov, V. P.; Nazaĭkinskiĭ, V. E. 5 1988 Fourier integral operators and the canonical operator. Zbl 0507.58043Nazaĭkinskiĭ, V. E.; Oshmyan, V. G.; Sternin, B. Yu.; Shatalov, V. E. 8 1981 Asymptotics for equations with singularities in the characteristics. I. Zbl 0484.35009Maslov, V. P.; Nazaĭkinskiĭ, V. E. 1 1981 Algebras with general commutation relations and their applications. I: Pseudodifferential equations with increasing coefficients. Zbl 0482.58028Maslov, V. P.; Nazaĭkinskiĭ, V. E. 3 1979 On the quantization of rapidly oscillating symbols. Zbl 0391.47036Karasev, M. V.; Nazaikinskii, V. E. 5 1978 ...and 2 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 191 Authors 77 Maslov, Viktor Pavlovich 59 Nazaikinskii, Vladimir E. 45 Dobrokhotov, Sergei Yurievich 28 Savin, Anton Yur’evich 19 Sternin, Boris Yur’evich 16 Tolchennikov, Anton A. 14 Minenkov, Dmitrii S. 10 Sergeev, Sergeĭ Alekseevich 9 Anikin, A. Yu. 8 Chernyshev, Vsevolod L. 8 Shafarevich, Andreĭ Igorevich 7 Tsvetkova, Anna V. 6 Sipailo, P. A. 5 Maslova, T. V. 5 Schrohe, Elmar 5 Vasilyev, Vladimir Borisovich 4 Lescure, Jean-Marie 4 Sekerzh-Zen’kovich, Sergeĭ Yakovlevich 4 Tirozzi, Brunello 3 Albeverio, Sergio A. 3 Allilueva, Anna I. 3 Arutyunov, Andronick Aramovich 3 Debord, Claire 3 Karasev, Mikhail Vladimirovich 3 Klevin, A. I. 3 Ruuge, Artur E. 2 Boltachev, A. V. 2 Grushin, V. V. 2 Katsnelson, Mikhail I. 2 Kumar, Rakesh 2 Kuzmina, Liudmila I. 2 Maeda, Yoshiaki 2 Makrakis, George N. 2 Maslov, A. V. 2 Medvedev, Sergeĭ Borisovich 2 Mishchenko, Aleksandr Sergeevich 2 Molotkov, I. A. 2 Nagaich, Rakesh Kumar 2 Nielsen, Lance 2 Novikova, E. M. 2 Omori, Hideki 2 Osipov, Yuri V. 2 Petrov, P. N. 2 Petrov, Pavel S. 2 Polyanin, Andrei Dmitrievich 2 Prokhorova, Marina F. 2 Rani, Rachna 2 Schulze, Bert-Wolfgang 2 Shao, Yuanzhen 2 Yoshioka, Akira 2 Zhuikov, Konstantin Nikolaevich 1 Aidagulov, R. R. 1 Amann, Herbert 1 Andler, Martin 1 Andreev, Viktor Konstantinovich 1 Anikin, Anatoly Y. 1 Arazy, Jonathan 1 Arora, Sumit 1 Avendaño-Camacho, Misael 1 Battisti, Ubertino 1 Bedrikovetsky, Pavel G. 1 Bei, Francesco 1 Bertagni, M. B. 1 Bogaevskij, Il’ya Aleksandrovich 1 Bokovikov, Yu. G. 1 Booss-Bavnbek, Bernhelm 1 Bova, J. I. 1 Brezhnev, Yurii V. 1 Brüning, Jochen 1 Buckel, Maxwell 1 Cacciapuoti, Claudio 1 Camporeale, Carlo 1 Carlone, Raffaele 1 Carrillo-Rouse, Paulo 1 Cass, Thomas Richard 1 Chen, Nan 1 Chirkunov, Yuriĭ Aleksandrovich 1 Chronik, Blaine A. 1 Ciesielski, Mariusz 1 Coriasco, Sandro 1 Dabas, Jaydev 1 Daletskii, Alexei 1 Dang, T. I. 1 de Gosson, Maurice Alexis 1 Dines, Nicoleta 1 Drago, Nicolò 1 Druzhkov, K. P. 1 Duggal, Krishan Lal 1 Dynnikov, Ivan Alekseevich 1 Engliš, Miroslav 1 Fang, Hui 1 Fishman, Louis 1 Gautesen, Arthur K. 1 Gogna, Manish 1 Gorbunova, T. N. 1 Harriott, Tina A. 1 Harutyunyan, Gohar V. 1 Hilberdink, Titus W. 1 Intissar, Ahmed 1 Izvarina, Natalia Romanovna ...and 91 more Authors all top 5 Cited in 82 Serials 73 Mathematical Notes 66 Russian Journal of Mathematical Physics 21 Theoretical and Mathematical Physics 15 Doklady Mathematics 15 Differential Equations 9 Journal of Mathematical Sciences (New York) 4 Computational Mathematics and Mathematical Physics 3 Journal of Mathematical Physics 3 Letters in Mathematical Physics 3 Journal of Geometry and Physics 3 Acta Applicandae Mathematicae 3 Abstract and Applied Analysis 3 Lobachevskii Journal of Mathematics 3 Proceedings of the Steklov Institute of Mathematics 2 Advances in Mathematics 2 Functional Analysis and its Applications 2 Journal of Functional Analysis 2 Journal of Soviet Mathematics 2 Mathematische Nachrichten 2 Bulletin des Sciences Mathématiques 2 Regular and Chaotic Dynamics 2 Matematicheskoe Modelirovanie 2 Central European Journal of Mathematics 1 Acta Mechanica 1 Communications in Mathematical Physics 1 Fluid Dynamics 1 General Relativity and Gravitation 1 Journal of Applied Mathematics and Mechanics 1 Journal of Fluid Mechanics 1 Russian Mathematical Surveys 1 Wave Motion 1 ZAMP. 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