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Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications, 2009, том 5, випуск за цей рік за назвою

Сортувати за: Порядок: Результатів:

  • Image Sampling with Quasicrystals 
    Grundland, M.; Patera, J.; Masáková, Z.; Dodgson, N.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We investigate the use of quasicrystals in image sampling. Quasicrystals produce space-filling, non-periodic point sets that are uniformly discrete and relatively dense, thereby ensuring the sample sites are evenly spread ...
  • Imaginary Powers of the Dunkl Harmonic Oscillator 
    Nowak, A.; Stempak, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper we continue the study of spectral properties of the Dunkl harmonic oscillator in the context of a finite reflection group on Rd isomorphic to Z₂d. We prove that imaginary powers of this operator are bounded ...
  • Indefinite Affine Hyperspheres Admitting a Pointwise Symmetry. Part 2 
    Scharlach, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    An affine hypersurface M is said to admit a pointwise symmetry, if there exists a subgroup G of Aut(TpM) for all p ∈ M, which preserves (pointwise) the affine metric h, the difference tensor K and the affine shape operator ...
  • Induced Modules for Affine Lie Algebras 
    Futorny, V.; Kashuba, I. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study induced modules of nonzero central charge with arbitrary multiplicities over affine Lie algebras. For a given pseudo parabolic subalgebra P of an affine Lie algebra G, our main result establishes the equivalence ...
  • Intertwining Symmetry Algebras of Quantum Superintegrable Systems 
    Calzada, J.A.; Negro, J.; del Olmo, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We present an algebraic study of a kind of quantum systems belonging to a family of superintegrable Hamiltonian systems in terms of shape-invariant intertwinig operators, that span pairs of Lie algebras like (su(n),so(2n)) ...
  • Inverse Spectral Problems for Tridiagonal N by N Complex Hamiltonians 
    Guseinov, G.Sh. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper, the concept of generalized spectral function is introduced for finite-order tridiagonal symmetric matrices (Jacobi matrices) with complex entries. The structure of the generalized spectral function is described ...
  • Inversion Formulas for the Spherical Radon-Dunkl Transform 
    Li, Zhongkai; Song, Futao (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    The spherical Radon-Dunkl transform Rκ, associated to weight functions invariant under a finite reflection group, is introduced, and some elementary properties are obtained in terms of h-harmonics. Several inversion formulas ...
  • Inversion of the Dual Dunkl-Sonine Transform on R Using Dunkl Wavelets 
    Mourou, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We prove a Calderón reproducing formula for the Dunkl continuous wavelet transform on R. We apply this result to derive new inversion formulas for the dual Dunkl-Sonine integral transform.
  • Isomorphism of Intransitive Linear Lie Equations 
    Veloso, Jose Miguel Martins (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We show that formal isomorphism of intransitive linear Lie equations along transversal to the orbits can be extended to neighborhoods of these transversal. In analytic cases, the word formal is dropped from theorems. Also, ...
  • Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications 
    Komori, Y.; Noumi, M.; Shiraishi, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type A and of type BC. As an application of the trigonometric cases, new explicit formulas for Koornwinder polynomials ...
  • Limits of Gaudin Systems: Classical and Quantum Cases 
    Chervov, A.; Falqui, G.; Rybnikov, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We consider the XXX homogeneous Gaudin system with N sites, both in classical and the quantum case. In particular we show that a suitable limiting procedure for letting the poles of its Lax matrix collide can be used to ...
  • Manin Matrices, Quantum Elliptic Commutative Families and Characteristic Polynomial of Elliptic Gaudin Model 
    Rubtsov, V.; Silantyev, A.; Talalaev, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    In this paper we construct the quantum spectral curve for the quantum dynamical elliptic gln Gaudin model. We realize it considering a commutative family corresponding to the Felder's elliptic quantum group Eτ,h(gln) and ...
  • Middle Convolution and Heun's Equation 
    Takemura, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Heun's equation naturally appears as special cases of Fuchsian system of differential equations of rank two with four singularities by introducing the space of initial conditions of the sixth Painlevé equation. Middle ...
  • Monopoles and Modifications of Bundles over Elliptic Curves 
    Levin, A.M.; Olshanetsky, M.A.; Zotov, A.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Modifications of bundles over complex curves is an operation that allows one to construct a new bundle from a given one. Modifications can change a topological type of bundle. We describe the topological type in terms of ...
  • Multicomponent Burgers and KP Hierarchies, and Solutions from a Matrix Linear System 
    Dimakis, A.; Müller-Hoissen, F. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Via a Cole-Hopf transformation, the multicomponent linear heat hierarchy leads to a multicomponent Burgers hierarchy. We show in particular that any solution of the latter also solves a corresponding multicomponent (potential) ...
  • Multisymplectic Lagrangian and Hamiltonian Formalisms of Classical Field Theories 
    Román-Roy, N. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    This review paper is devoted to presenting the standard multisymplectic formulation for describing geometrically classical field theories, both the regular and singular cases. First, the main features of the Lagrangian ...
  • Natural Intrinsic Geometrical Symmetries 
    Haesen, S.; Verstraelen, L. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    A proposal is made for what could well be the most natural symmetrical Riemannian spaces which are homogeneous but not isotropic, i.e. of what could well be the most natural class of symmetrical spaces beyond the spaces ...
  • Noncommutative Root Space Witt, Ricci Flow, and Poisson Bracket Continual Lie Algebras 
    Zuevsky, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We introduce new examples of mappings defining noncommutative root space generalizations for the Witt, Ricci flow, and Poisson bracket continual Lie algebras.
  • Non-Hamiltonian Actions and Lie-Algebra Cohomology of Vector Fields 
    Ferreiro Pérez, R.; Muñoz Masqué, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    Two examples of Diff⁺S¹-invariant closed two-forms obtained from forms on jet bundles, which does not admit equivariant moment maps are presented. The corresponding cohomological obstruction is computed and shown to coincide ...
  • Non-Hermitian Quantum Mechanics with Minimal Length Uncertainty 
    Jana, T.K.; Roy, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2009)
    We study non-Hermitian quantum mechanics in the presence of a minimal length. In particular we obtain exact solutions of a non-Hermitian displaced harmonic oscillator and the Swanson model with minimal length uncertainty. ...

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