Geometry and Spectra of Compact Riemann Surfaces (Modern Birkhäuser Classics)

Limits of equisymmetric $1$-complex dimensional families of Riemann surfaces
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App Download. US UK. Thank you for subscribing! Multivalued functions and functionals. An analogue of the Morse theory, Dokl. Periodic solutions of the Kirchhoff equations for the free motion of a rigid body in a fluid and the extended Lyusternik-Shnirel'man-Morse theory. Variational methods and periodic solutions of equations of Kirchhoff type.

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II, Funktsional Anal. Bloch functions in a magnetic field and vector bundles. Typical dispersion relations and their quantum numbers, Dokl. Kirchhoff type equations and many-valued functions and functionals.

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Analogue of the Morse-Lyusternik-Shnirel'man theory and periodic orbits in a magnetic field, Report to the I. Petrovskii seminar, Uspekhi Mat. Algebraic geometry and mathematical physics, in Proc. Zakharov and S. Manakov, North-Holland, Amsterdam with I. The Hamiltonian formalism and a many-valued analogue of Morse theory, Uspekhi Mat.

Nauk , , v.

  • Geometry and Spectra of Compact Riemann Surfaces.
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On Poisson brackets compatible with algebraic geometry and the Korteweg-de Vries dynamics on the set of finite-zone potentials, Dokl. Algebro-geometric Poisson brackets for real finite-zone solutions of the sine-Gordon equation and the non-linear Schroedinger equations, Dokl. On the spectral theory of commuting operators of rank 2 with periodic coefficients , Funktsional Anal.

Wing Keung / Gonality and hyperbolic geometry of a compact Riemann surface 1

Topological and algebraic-geometrical methods in contemporary mathematical physics, Soviet Scientific Reviews, , v. Hamiltonian formalism of one-dimensional systems of hydrodynamic type and the Bogolyubov-Whitham averaging method, Dokl. Two-dimensional Schroedinger operators in periodic fields. Multivalued functionals in modern mathematical physics, Atti Accad. Torino Cl.

  • Geometry and Spectra of Compact Riemann Surfaces - Peter Buser - Google Buku.
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Natur, , v. The analytic generalized Hopf invariant. Many-valued functionals, Uspekhi Mat. Critical points and level surfaces of many-valued functions, Trudy Mat. Steklov, , v. Poisson brackets and complex tori. Trudy Mat. Methods of homology theory, Nauka, Moscow with B. Periodic extremals of many-valued or not everywhere positive functionals, Dokl.

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The first subject is the geometric theory of compact Riemann surfaces of genus greater than one, the second subject is the Modern Birkhäuser Classics. Geometry and Spectra of Compact Riemann Surfaces. Authors; (view Part of the Modern Birkhäuser Classics book series (MBC). Download book PDF.

On Poisson brackets of hydrodynamic type, Dokl. Discussion with Academician S. Novikov, Kvant, , N 10, Finite-zone two-dimensional potential Schroedinger operators. Explicit formulas and evolution equations, Dokl. Finite-zone two-dimensional Schroedinger operators. Potential operators, Dokl. Algebro-topological approach to reality problems Real action variables in the theory of finite-gap solutions of the sine-Gordon equation. LOMI, , v. The geometry of conservative systems of hydrodynamic type.

Geometry and spectra of compact riemann surfaces

The method of averaging for field-theoretical systems. Poisson brackets of hydrodynamic type, Frobenius algebras and Lie algebras, Dokl.

Analytical homotopy theory. Rigidity of homotopic integrals, Dokl. Integrable systems, I. Current problem in mathematics. Fundamental directions. Two-dimensional periodic Schroedinger operators and Prym's q -functions , in Geometry Today, Internat. Rome, June , Boston , , with A.

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Veselov and I. Differential geometry and the averaging method for field-theoretic systems, Proc. III Internat. Institute of Nuclear Research, Dubna, , vol. Methods and applications. Bloch homology. Critical points of functions and closed I-forms , Dokl. Morse inequalities and von Neumann 1-factors , Dokl. Topology I. Two-dimensional Schroedinger operators: Inverse scattering transform and evolutional equations, Phys. D18, , with A. Vladimir Abramovich Rokhlin obituary , Uspekhi Mat. Arnol'd, D. Fuks, A. Kolmogorov, Ya.

Sinai, A. Vershik, and O. Evolution of the Whitham zone in the Korteweg-de Vries theory , Dokl. Elements of differential geometry and topology, Nauk, Moscow , with A. Avilov and I. Algebras of Virasoro type, Riemann surfaces and structures of the theory of solitons , Funktsional. Virasoro-type algebras, Riemann surfaces and strings in Minkowski space , Funktsional.

Two-dimensional Schroedinger operator and solitons: 3-dimensional integrable systems. VIII Internat. Physics, Marseille , World Scientific Publ. The two-dimensional inverse scattering problem for negative energy and generalized analytic functions , I. Energy below the basis state, Funktsional. Algebras of Virasoro type, energy-momentum tensor and decomposition operators on Riemann surfaces , Funktsional. Hydrodynamics of the soliton lattices.

Differential geometry and Hamiltonian formalism. Riemann surfaces, operator fields, strings.