Selected Publications

• Solutions of mKdV in classes of functions unbounded at infinity (T. Kappeler, P. Perry, M. Shubin, P. Topalov, 2006) [PDF] /35 pages/
• Gauge optimization and spectral properties of magnetic Schrödinger operators (V. Kondratiev, V. Maz'ya, M. Shubin, 2006) [PDF] /20 pages/
• Geometric theory of lattice vibrations and specific heat (M. Shubin, T. Sunada, 2005) [PDF] /31 pages/
• The Miura map on the line (T. Kappeler, P. Perry, M. Shubin, P. Topalov, 2005) [PDF] /33 pages/
• Can one see the fundamental frequency of a drum? (V. Maz'ya, M. Shubin, 2005) [PDF] /18 pages/
• Discreteness of spectrum and positivity criteria for Schrödinger operators (V. Maz'ya, M. Shubin, 2003) [PDF] /24 pages/
• Equivalence of spectral projections in semiclassical limit and a vanishing theorem for higher traces in K-theory (Yu. Kordyukov, V. Mathai, M. Shubin, 2003) [PDF] /40 pages/
• Discreteness of spectrum and strict positivity criteria for magnetic Schrödinger operators (V. Kondratiev, V. Maz'ya, M. Shubin, 2002) [PDF] /34 pages/
• Essential self-adjointness of Schrödinger type operators on manifolds (M. Braverman, O. Milatovic, M. Shubin , 2001) [PDF] /52 pages/
• Discreteness of Spectrum for the Magnetic Schrödinger Operators (V. Kondrat'ev, M. Shubin, 2000) [PDF] /43 pages/
• Essential Self-Adjointness for Semi-Bounded Magnetic Schrödinger Operators on Non-Compact Manifolds (M. Shubin, 2000) [PDF] /24 pages/
• Essential Self-Adjointness for Magnetic Schrödinger Operators on Non-Compact Manifolds (M. Shubin, 1999) [PDF] /31 pages/
• A Sequence of Connections and a Characterization of Kähler Manifolds (M. Shubin, 1999) [PDF] /6 pages/
• Discreteness of Spectrum for the Schrödinger Operators on Manifolds of Bounded Geometry (V. Kondrat'ev, M. Shubin, 1999) [PDF] /43 pages/
• Classical and Quantum Completeness for the Schrödinger Operators on Non-Compact Manifolds (M. Shubin, 1999) [PDF] /15 pages/
• Elliptic Boundary Problems with Relaxed Conditions (M. Shubin, 1999) [PDF] /14 pages/
• Fedosov Manifolds (I. Gelfand, V. Retakh, M. Shubin, 1998) [PDF] /34 pages/
• Holomorphic L² Functions on Coverings of Pseudoconvex Manifolds (M. Gromov, G. Henkin, M. Shubin, 1998) [PDF] /30 pages/
• De Rham Theorem for Extended L²-Cohomology (M. Shubin, 1998) [PDF] /16 pages/
• From p-adic numbers to zeta-functions (Review with some proofs) (M. Levine, M. Shubin, 1997) [PDF] /33 pages/
• Twisted L² Invariants of Non-Simply Connected Manifolds and Asymptotic L² Morse Inequalities (V. Mathai, M. Shubin, 1996) [PDF] /28 pages/
• Remarks on Topology of the Hilbert Grassmanian (M. Shubin, 1996) [PDF] /9 pages/
• Semiclassical Asymptotics on Covering Manifolds and Morse Inequalities (M. Shubin, 1996) [PDF] /39 pages/
• Novikov Inequalities for Vector Fields (M. Shubin, 1996) [PDF] /28 pages/
• L² Riemann--Roch Theorem for Elliptic Operators (M. Shubin, 1995) [PDF] /45 pages/
• Discrete Magnetic Laplacian (M. Shubin, 1994) [PDF] /21 pages/
• The Riemann--Roch Theorem for Elliptic Operators and Solvability of Elliptic Equations with Additional Conditions on Compact Subsets (M. Gromov, M. Shubin, 1994) [PDF] /19 pages/
• The Riemann--Roch Theorem for Elliptic Operators (M. Gromov, M. Shubin, 1993) [PDF] /31 pages/
• Spectral Theory of Elliptic Operators on Non--Compact Manifolds (M. Shubin, 1992) [PDF] /72 pages/
• Near--Cohomology of Hilbert Complexes and Topology of Non--Simply Connected Manifolds (M. Gromov, M. Shubin, 1992) [PDF] /13 pages/
• Algebraic Remarks on Idempotent Semirings and the Kernel Theorem in Spaces of Bounded Functions (M. Shubin, 1992) [PDF] /16 pages/
• A Lefschetz Fixed Point Formula in Reduced L²-Cohomologies on Manifolds with Cylinders (M. Shubin, 1992) [PDF] /8 pages/
• Lefschetz Fixed Point Formula for Manifolds with Cylindrical Ends (S. Seyfarth, M. Shubin, 1991) [PDF] /10 pages/
• Von Neumann Spectra Near Zero (M. Gromov, M. Shubin, 1991) [PDF] /31 pages/
• A Lefschetz fixed point formula on manifolds with cylindric ends (S. Seifarth, M. Shubin, 1990) [PDF] /5 pages/
• Weak Bloch property and weight estimates for elliptic operators (M. Shubin, 1989) [PDF] /21 pages/
• Equations of Korteweg-de Vries type in classes of increasing functions (I. N. Bondareva, M. Shubin, 1989) [PDF] /10 pages/
• Spectrum distribution function and variational principle for automorphic operators on hyperbolic space (D. V. Efremov, M. Shubin, 1989) [PDF] /20 pages/
• On the equality between weak and strong extentions (M. Shubin, J. Sjostrand, 1989) [PDF] /10 pages/
• Morse inequalities and Von Neumann II₁-Factors (S. P. Novikov, M. Shubin, 1986) [PDF] /4 pages/
• Pseudodifference operators and their Green's functions (M. Shubin, 1985) [PDF] /18 pages/
• Uniqueness of the solution of the Cauchy problem for the Korteweg-de Vries equation in classes of increasing functions (I. N. Bondareva, M. Shubin, 1985) [PDF] /5 pages/
• Asymptotic expansion of the state density and the spectral function of a Hill operator (D. Shenk, M. Shubin, 1985) [PDF] /18 pages/
• Pseudodifference operators and their inversion (M. Shubin, 1984) [PDF] /4 pages/
• On the coincidence of the spectra of random elliptic operators (S. M. Kozlov, M. Shubin, 1984) [PDF] /17 pages/
• Algebras of pseudodifferential operators on unimodular Lie Groups (G. A. Meladze, M. Shubin, 1984) [PDF] /4 pages/
• Increasing asymptotic solutions of the Korteweg-de Vries equation and its higher analogues (I. N. Bondareva, M. Shubin, 1982) [PDF] /4 pages/
• Random pseudodifferential operators and the stabilization of solutions of parabolic equations with random coefficients (P. E. Dedik, M. Shubin, 1980) [PDF] /20 pages/
• The spectral theory and the index of elliptic operators with almost periodic coefficients (M. Shubin, 1979) [PDF] /49 pages/
• Almost periodic functions and partial differential operators (M. Shubin, 1978) [PDF] /52 pages/
• The Density of States of Selfadjoint Elliptic Operators with Almost Periodic Coefficients (M. Shubin, 1978) [PDF] /33 pages/
• The index of random elliptic operators. I (B. V. Fedosov, M. Shubin, 1978) [PDF] /29 pages/
• The index of random elliptic operators. II (B. V. Fedosov, M. Shubin, 1978) [PDF] /26 pages/
• Pseudodifferential almost-periodic operators and Von Neumann algebras (M. Shubin, 1976) [PDF] /64 pages/
• Theorems on the coincidence of the spectra of pseudodifferential almost-periodic operators in the spaces L²(Rⁿ) and B²(Rⁿ) (M. Shubin, 1976) [PDF] /13 pages/
• The Favard-Muhamadiev theory and pseudodifferential operators (M. Shubin, 1975) [PDF] /4 pages/
• Differential and pseudodifferential operators in spaces of almost periodic functions (M. Shubin, 1974) [PDF] /27 pages/
• Symbols of operators and quantization (F. Berezin, M. Shubin, 1972) [PDF] /32 pages/
• Factorization of matrices depending on a parameter, and elliptic equations in a halfspace (M. Shubin, 1971) [PDF] /20 pages/
• On the index of families of Wiener-Hopf operators (M. Shubin, 1971) [PDF] /23 pages/
• Pseudodifferential operators in Rⁿ (M. Shubin, 1971) [PDF] /5 pages/
• On holomorphic families of subspaces of a Banach space (M. Shubin, 1970) [PDF] /14 pages/