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Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Репозиторій DSpace/Manakin

Перегляд Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) за назвою

Сортувати за: Порядок: Результатів:

  • On Transitive Systems of Subspaces in a Hilbert Space 
    Moskaleva, Y.P.; Samoilenko, Y.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    Methods of *-representations in Hilbert space are applied to study of systems of n subspaces in a linear space. It is proved that the problem of description of n-transitive subspaces in a finite-dimensional linear space ...
  • Open/Closed String Topology and Moduli Space Actions via Open/Closed Hochschild Actions 
    Kaufmann, R.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    In this paper we extend our correlation functions to the open/closed case. This gives rise to actions of an open/closed version of the Sullivan PROP as well as an action of the relevant moduli space. There are several ...
  • Operator Gauge Symmetry in QED 
    Khademi, S.; Nasiri, S. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In this paper, operator gauge transformation, first introduced by Kobe, is applied to Maxwell's equations and continuity equation in QED. The gauge invariance is satisfied after quantization of electromagnetic fields. ...
  • Opposite Antipodal Fundamental Solution of Laplace's Equation in Hyperspherical Geometry 
    Cohl, H.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Due to the isotropy of d-dimensional hyperspherical space, one expects there to exist a spherically symmetric opposite antipodal fundamental solution for its corresponding Laplace-Beltrami operator. The R-radius hypersphere ...
  • Orbital Linearization of Smooth Completely Integrable Vector Fields 
    Zung, N.T. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    The main purpose of this paper is to prove the smooth local orbital linearization theorem for smooth vector fields which admit a complete set of first integrals near a nondegenerate singular point. The main tools used in ...
  • Orbit Functions 
    Klimyk, A.; Patera, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    In the paper, properties of orbit functions are reviewed and further developed. Orbit functions on the Euclidean space En are symmetrized exponential functions. The symmetrization is fulfilled by a Weyl group corresponding ...
  • Orbit Representations from Linear mod 1 Transformations 
    Correia Ramos, C.; Martins, N.; Pinto, P.R. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    We show that every point x0∈[0,1] carries a representation of a C∗-algebra that encodes the orbit structure of the linear mod 1 interval map fβ,α(x)=βx+α. Such C∗-algebra is generated by partial isometries arising from the ...
  • Ordered Dissipative Structures in Exciton Systems in Semiconductor Quantum Wells 
    Chernyuk, A.A.; Sugakov, V.I. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A phenomenological theory of exciton condensation in conditions of inhomogeneous excitation is proposed. The theory is applied to the study of the development of an exciton luminescence ring and the ring fragmentation at ...
  • Ordered ∗-Semigroups and a C∗-Correspondence for a Partial Isometry 
    Brenken, B. (Symmetry, Integrability and Geometry: Methods and Applications, 2014)
    Certain ∗-semigroups are associated with the universal C∗-algebra generated by a partial isometry, which is itself the universal C∗-algebra of a ∗-semigroup. A fundamental role for a ∗-structure on a semigroup is emphasized, ...
  • Ordering of Energy Levels for Extended SU(N) Hubbard Chain 
    Hakobyan, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    The Lieb-Mattis theorem on the antiferromagnetic ordering of energy levels is generalized to SU(N) extended Hubbard model with Heisenberg exchange and pair-hopping terms. It is proved that the minimum energy levels among ...
  • Order Parameters in XXZ-Type Spin 1/2 Quantum Models with Gibbsian Ground States 
    Skrypnik, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    A class of general spin 1/2 lattice models on hyper-cubic lattice Zd, whose Hamiltonians are sums of two functions depending on the Pauli matrices S¹, S² and S³, respectively, are found, which have Gibbsian eigen (ground) ...
  • Orthogonal Basic Hypergeometric Laurent Polynomials 
    Mourad E.H. Ismail; Stanton, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    The Askey-Wilson polynomials are orthogonal polynomials in x=cosθ, which are given as a terminating ₄∅₃ basic hypergeometric series. The non-symmetric Askey-Wilson polynomials are Laurent polynomials in z=eiθ, which are ...
  • Orthogonality Measure on the Torus for Vector-Valued Jack Polynomials 
    Dunkl, C.F. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    For each irreducible module of the symmetric group on N objects there is a set of parametrized nonsymmetric Jack polynomials in N variables taking values in the module. These polynomials are simultaneous eigenfunctions of ...
  • Orthogonality Relations for Multivariate Krawtchouk Polynomials 
    Mizukawa, H. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    The orthogonality relations of multivariate Krawtchouk polynomials are discussed. In case of two variables, the necessary and sufficient conditions of orthogonality is given by Grünbaum and Rahman in [SIGMA 6 (2010), 090, ...
  • Orthogonality within the families of C-, S-, and E-functions of any compact semisimple Lie group 
    Moody, R.V.; Patera, J. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The paper is about methods of discrete Fourier analysis in the context of Weyl group symmetry. Three families of class functions are defined on the maximal torus of each compact simply connected semisimple Lie group G. ...
  • Orthogonal Polynomials Associated with Complementary Chain Sequences 
    Behera, K.K.; Sri Ranga, A.; Swaminathan, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    Using the minimal parameter sequence of a given chain sequence, we introduce the concept of complementary chain sequences, which we view as perturbations of chain sequences. Using the relation between these complementary ...
  • Orthogonal Polynomials on the Unit Ball and Fourth-Order Partial Differential Equations 
    Martínez, C.; Piñar, M.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    The purpose of this work is to analyse a family of mutually orthogonal polynomials on the unit ball with respect to an inner product which includes an additional term on the sphere. First, we will get connection formulas ...
  • Orthogonal Rational Functions on the Unit Circle with Prescribed Poles not on the Unit Circle 
    Bultheel, A.; Cruz-Barroso, R.; Lasarow, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2017)
    Orthogonal rational functions (ORF) on the unit circle generalize orthogonal polynomials (poles at infinity) and Laurent polynomials (poles at zero and infinity). In this paper we investigate the properties of and the ...
  • Orthogonal Separation of the Hamilton-Jacobi Equation on Spaces of Constant Curvature 
    Rajaratnam, K.; McLenaghan, R.G.; Valero, C. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    We review the theory of orthogonal separation of variables of the Hamilton-Jacobi equation on spaces of constant curvature, highlighting key contributions to the theory by Benenti. This theory revolves around a special ...
  • Orthogonal vs. Non-Orthogonal Reducibility of Matrix-Valued Measures 
    Koelink, E.; Román, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    A matrix-valued measure Θ reduces to measures of smaller size if there exists a constant invertible matrix M such that MΘM∗ is block diagonal. Equivalently, the real vector space A of all matrices T such that TΘ(X)=Θ(X)T∗ ...

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