Mikhail A. Shubin
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Mikhail A. Shubinmathematics Degrees
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Mathematics
Mikhail A. Shubin's Degrees
- PhD Mathematics University of California, Berkeley
- Bachelors Mathematics Moscow State University
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(Suggest an Edit or Addition)Mikhail A. Shubin's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Pseudodifferential Operators and Spectral Theory (1987) (1765)
- Fourier Integral Operators (1994) (1127)
- The Schrödinger Equation (1991) (297)
- ALMOST PERIODIC FUNCTIONS AND PARTIAL DIFFERENTIAL OPERATORS (1978) (148)
- THE SPECTRAL THEORY AND THE INDEX OF ELLIPTIC OPERATORS WITH ALMOST PERIODIC COEFFICIENTS (1979) (147)
- Essential self-adjointness of Schrödinger-type operators on manifolds (2002) (139)
- Spectral theory of elliptic operators on non-compact manifolds: qualitative results (1992) (124)
- Von Neumann spectra near zero (1991) (113)
- Non-standard analysis and singular perturbations of ordinary differential equations (1984) (109)
- Discrete Magnetic Laplacian (1994) (107)
- Fedosov Manifolds (1997) (105)
- Essential self-adjointness for semi-bounded magnetic Schr\"odinger operators on non-compact manifolds (2000) (105)
- Mixed Problems for Hyperbolic Equations (1994) (92)
- Foundations of the Classical Theory of Partial Differential Equations (1991) (91)
- Discreteness of spectrum for the Schrödinger operators on manifolds of bounded geometry (1999) (66)
- Semiclassical asymptotics on covering manifolds and morse inequalities (1996) (60)
- Some unsolved problems in the theory of differential equations and mathematical physics (1989) (58)
- Topics in Statistical and Theoretical Physics (1996) (53)
- Discreteness of spectrum and positivity criteria for Schr (2003) (50)
- Elements of the modern theory of partial differential equations (1999) (46)
- The Miura map on the line (2005) (46)
- Poisson brackets and the kernel of the variational derivative in the formal calculus of variations (1976) (39)
- DISCRETENESS OF SPECTRUM FOR THE MAGNETIC SCHRÖDINGER OPERATORS (2000) (36)
- Can One See the Fundamental Frequency of a Drum? (2005) (33)
- Pseudodifferential Operators in ℝn (2001) (33)
- Discreteness of Spectrum and Strict Positivity Criteria for Magnetic Schrödinger Operators (2002) (30)
- Spectrum distribution function and variational principle for automorphic operators on hyperbolic space (1989) (28)
- L2 Riemann-Roch theorem for elliptic operators (1995) (27)
- Partial Differential Equations IV (1992) (26)
- Partial Differential Equations VII : Spectral Theory of Differential Operators (1994) (24)
- Complex Powers of Elliptic Operators (2001) (24)
- Semiclassical Asymptotics and Gaps in the Spectra of Magnetic Schrödinger Operators (2001) (22)
- The Schroedinger equation (1983) (22)
- Essential self-adjointness for magnetic Schrödinger operators on non-compact manifolds (1999) (21)
- Solutions of mKdV in Classes of Functions Unbounded at Infinity (2006) (21)
- The Geometry of Morphogenesis and the Morphogenetic Field Concept (2012) (21)
- Partial Differential Equations IX (1997) (21)
- Novikov Inequalities for Vector Fields (1996) (21)
- On holomorphic families of subspaces of a banach space (1979) (21)
- PSEUDODIFFERENCE OPERATORS AND THEIR GREEN'S FUNCTIONS (1986) (21)
- ASYMPTOTIC EXPANSION OF THE STATE DENSITY AND THE SPECTRAL FUNCTION OF A HILL OPERATOR (1987) (19)
- Theorems on the coincidence of the spectra of pseudodifferential almost-periodic operators in the spaces L2(Rn) and B2(Rn) (1976) (19)
- Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in K-theory (2003) (18)
- Spectral Theory and Geometry: Spectral theory of the Schrödinger operators on noncompact manifolds: qualitative results (1999) (18)
- Partial Differential Equations VII (1994) (18)
- Near-cohomology of Hilbert complexes and topology of non-simply connected manifolds (1992) (18)
- Asymptotic expansion of the spectral function for second-order elliptic operators in Rn (1983) (17)
- De Rham theorem for extended L^2-cohomology (1996) (15)
- The Riemann-Roch theorem for elliptic operators (1993) (15)
- Algebraic remarks on idempotent semirings and the kernel theorem in spaces of bounded functions (1992) (15)
- Gauge Optimization and Spectral Properties of Magnetic Schrödinger Operators (2006) (14)
- Equations of Korteweg-de Vries type in classes of increasing functions (1990) (14)
- Weak Bloch property and weight estimates for elliptic operators (1990) (14)
- Geometric Theory of Lattice Vibrations and Specific Heat (2005) (14)
- A functional calculus of pseudodifferential operators on unimodular Lie groups (1989) (13)
- Partial Differential Equations VI: Elliptic and Parabolic Operators (1994) (13)
- Linear Partial Differential Equations. Elements of the Modern Theory (1994) (12)
- Asymptotic Behaviour of the Spectral Function (2001) (12)
- Foundations of the classical theory (1992) (11)
- Contemporary Mathematical Physics (1996) (9)
- Invitation to Partial Differential Equations (2020) (9)
- Classical and quantum completeness for the Schrödinger operators on non-compact manifolds (2005) (9)
- Partial Differential Equations VIII (1996) (9)
- Atiyah - Bott - Lefschetz theorem for manifolds with boundary (1981) (9)
- The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets (1994) (9)
- Proper uniform pseudodifferential operators on unimodular Lie groups (1989) (8)
- Spectrum and its distribution function for a transversally elliptic operator (1981) (8)
- Twisted L^2 invariants of non-simply connected manifolds (1996) (7)
- Almost-periodic elliptic operators and von Neumann algebras (1975) (7)
- Semiclassical asymptotics on manifolds with boundary (2008) (6)
- ON THE COINCIDENCE OF THE SPECTRA OF RANDOM ELLIPTIC OPERATORS (1985) (6)
- Partial Differential Equations II (1994) (6)
- Partial Differential Equations II : Elements of the Modern Theory. Equations with Constant Coefficients (1994) (5)
- COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On the zeta function of a transversally elliptic operator (1984) (5)
- The One-Dimensional Schrödinger Equation (1991) (5)
- Partial Differential Equations VI (2010) (5)
- A complete asymptotic expansion of the spectral function for second-order elliptic operators in Rn (1983) (5)
- Atiyah-Bott-Lefschetz formula for elliptic complexes on manifolds with boundary (1993) (5)
- Erratum to von neumann spectra near zero (1995) (4)
- Asymptotic expansion of the spectral function of the Hill operator (1986) (4)
- A theorem on the coincidence of spectra for random elliptic operators (1982) (4)
- Variational principle and asymptotic behavior of the density of states for random pseudodifferential operators (1989) (4)
- Sobolev Spaces and Elliptic Equations (1991) (4)
- A Lefschetz Fixed Point Formula in Reduced L 2 -Cohomologies on Manifolds with Cylinders (1992) (3)
- COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On the structure of functions of class S of self-adjoint elliptic operators on Rn (1982) (3)
- Discreteness of spectrum conditions for Schrödinger operators on manifolds (1999) (3)
- The Riemann-Roch theorem for general elliptic operators (1992) (3)
- The spectral asymptotics of elliptic operators of Schrödinger type on a hyperbolic space (1992) (3)
- Spectral properties and the spectrum distribution function of a transversally elliptic operator (1986) (3)
- TWISTED L2 INVARIANTS OF NON-SIMPLY CONNECTED MANIFOLDS AND ASYMPTOTIC L2 MORSE INEQUALITIES (2005) (3)
- Lefschetz fixed point formula for manifolds with cylindrical ends (1991) (3)
- Elements of the modern theory : equations with constant coefficients (1994) (2)
- A variational principle for the density of states of random pseudodifferential operators, and its applications (1983) (2)
- Elliptic and parabolic operators (1994) (2)
- Elliptic boundary value problems (1997) (2)
- Microlocal analysis and hyperbolic equations (1993) (2)
- Capacity and its applications (2004) (2)
- Boris Vasil'evich Fedosov (obituary) (2012) (1)
- Feliks Aleksandrovich Berezin (obituary) (1981) (1)
- The Classical Theory (1998) (1)
- The Destruction of the Foundations of Structures in Coastal Areas of the Volgograd Region (2016) (1)
- Foundations of PDO Theory (1987) (1)
- MATHEMATICAL LIFE: Vladimir Gilelevich Maz'ya (to his 70th brithday) (2008) (1)
- Zeta-function of a transversely elliptic operator (1984) (1)
- Vyacheslav Alekseevich Oleinikov (obituary) (1990) (1)
- Overdetermined systems, dissipative singular Schrödinger operator, index theory (1996) (1)
- Spaces of almost-periodic functions and differential operators (1974) (1)
- Partial Differential Equations Iii (2012) (1)
- A sequence of connections and a characterization of K (1998) (1)
- Boundary-value Problems in Half-space (1994) (1)
- Mikhail Shubin Interview September 3, 1990 (1990) (0)
- Book Review: Distributions and convolution equations (1994) (0)
- Topology and the Lay of the Land: A Mathematician on the Topographer's Turf. (1992) (0)
- The Problem of Transferring Part of the Flow of Northern Rivers of Russia to the Southern Regions (2019) (0)
- Sharp and Diffusion Fronts of Hyperbolic Equations1 (1994) (0)
- Владимир Гилелевич Мазья (к 70-летию со дня рождения)@@@Vladimir Gilelevich Maz'ya (to his 70th brithday) (2008) (0)
- Spectral theory and geometric analysis : international conference in honor of Mikhail Shubin's 65th birthday, Spectral Theory and Geometric Analysis, July 29-August 2, 2009, Northeastern University, Boston, MA (2011) (0)
- Wave Front of a Distribution and Simplest Theorems on Propagation of Singularities (1994) (0)
- The Function P + λ for Polynomials of Second-degree and its Application in the Construction of Fundamental Solutions (1994) (0)
- Mikhail Shubin Interview October 27, 1991 (1991) (0)
- Partial differential equations : Mark Vishik's seminar (2002) (0)
- Se p 20 09 Solutions of the Nonlinear Schrödinger Equation with Prescribed Asymptotics at Infinity (0)
- Symbols of Operators and Feynman Path Integrals (1991) (0)
- Operators of “common position” in Hilbert spaces (1967) (0)
- On conditions that the spectra of certain operators be discrete (1972) (0)
- Sturm Type Theorems for Differential Equations of Ar- bitrary Order with Operator-Valued Coefficients (2013) (0)
- Technological problems of protection of coastal urban areas (2019) (0)
- Mark Iosifovich Vishik (on his sixtieth birthday) (1982) (0)
- General Concepts of Quantum Mechanics (1991) (0)
- DYNAMICS OF EROSIVE PROCESSES IN THE NIZHNYAYA-VOLGA PRIKASPIY REGION (2008) (0)
- A conceptual analysis of the relation between human activities and river quality deterioration in the Volga-Don basin ( Russia ) (2003) (0)
- Foundations of ΨDO Theory (2001) (0)
- Existence and Uniqueness of Solutions of Differential Equations (1994) (0)
- The solvability of the Cauchy problem is proved for the Korteweg-de Vries equation and similar equations in the space of C=-functions for which (1990) (0)
- Сartographic Provision of Monitoring of Engineering-Geological Processes on the Basis of GIS-Technologies (2018) (0)
- Asymptotics of Eigenvalues of Self-adjoint Differential and Pseudodifferential Operators (1994) (0)
- Method of Stationary Phase and Short-wave Asymptotics (1994) (0)
- The Multidimensional Schrödinger Equation (1991) (0)
- The Cauchy problem ; Qualitative theory of partial differential equations (1991) (0)
- Generalized Functions and Fundamental Solutions of Differential Equations (1994) (0)
- Marko Iosifovich Vishik (obituary) (2013) (0)
- ELLIPTIC BOUNDARY PROBLEMS WITH RELAXED CONDITIONS (2005) (0)
- Fourier Transformation of Generalized Functions (1994) (0)
- MATHEMATICAL EVENTS: Mark Iosifovich Vishik (on his seventy-fifth birthday) (1997) (0)
- Hydrotechnical construction and protection of the geological environment (1979) (0)
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