Title | The Arnold-Gelfand Mathematical Seminars [electronic resource] / edited by V. I. Arnold, I. M. Gelfand, V. S. Retakh, M. Smirnov |
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Imprint | Boston, MA : Birkhรคuser Boston, 1997 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-4122-5 |
Descript | X, 438 p. online resource |
Discriminants and Local Invariants of Planar Fronts -- Crofton Densities, Symplectic Geometry and Hilbertโs Fourth Problem -- Projective Convex Curves -- Topological Classification of Real Trigonometric Polynomials and Cyclic Serpents Polyhedron -- Singularities of Short Linear Waves on the Plane -- New Generalizations of Poincarรฉโs Geometric Theorem -- Explicit Formulas for Arnoldโs Generic Curve Invariants -- Nonlinear Integrable Equations and Nonlinear Fourier Transform -- Elliptic Solutions of the Yang-Baxter Equation and Modular Hypergeometric Functions -- Combinatorics of Hypergeometric Functions Associated with Positive Roots -- Local Invariants of Mappings of Surfaces into Three-Space -- Theorem on Six Vertices of a Plane Curve Via Sturm Theory -- The ArfโInvariant and the Arnold Invariants of Plane Curves -- Produit cyclique dโespaces et opรฉrations de Steenrod -- Characteristic Classes of Singularity Theory -- Value of Generalized Hypergeometric Function at Unity -- Harish-Chandra Decomposition for Zonal Spherical Function of type An -- Positive Paths in the Linear Symplectic Group -- Invariants of Submanifolds in Euclidean Space -- On Combinatorics and Topology of Pairwise Intersections of Schubert Cells in SLn/B