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Перегляд Відділення математики за назвою

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Перегляд Відділення математики за назвою

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  • Haantjes Structures for the Jacobi-Calogero Model and the Benenti Systems 
    Tondo, G.; Tempesta, P. (Symmetry, Integrability and Geometry: Methods and Applications, 2016)
    In the context of the theory of symplectic-Haantjes manifolds, we construct the Haantjes structures of generalized Stäckel systems and, as a particular case, of the quasi-bi-Hamiltonian systems. As an application, we recover ...
  • Hall operators on the set of formations of finite groups 
    Mekhovich, A.P.; Vorob’ev, N.N.; Vorob’ev, N.T. (Algebra and Discrete Mathematics, 2010)
    Let π be a nonempty set of primes and let F be a saturated formation of all finite soluble π-groups. It is constructed the saturated formation consisting of all finite π-soluble groups whose F-projectors contain a Hall ...
  • Hamiltonian analysis of exact integrability of the quantum 3-level superradiance Dicke model 
    Samuliak, R.V. (Український математичний журнал, 1992)
    It is proved that the quantum 3-level superradiance Dicke model is exactly integrable. The Lax representation of the operator system of evolution equations is derived on the basis of a theory of Lie algebras of currents. ...
  • Hamiltonian Flows of Curves in G/SO(N) and Vector Soliton Equations of mKdV and Sine-Gordon Type 
    Anco, S.C. (Symmetry, Integrability and Geometry: Methods and Applications, 2006)
    The bi-Hamiltonian structure of the two known vector generalizations of the mKdV hierarchy of soliton equations is derived in a geometrical fashion from flows of non-stretching curves in Riemannian symmetric spaces G/SO(N). ...
  • Hamiltonian formulation for the motion of a two fluid system with free surface 
    Sciortino, G.; M.La Rocca; Boniforti, M. (Нелінійні коливання, 2003)
    In this work a theoretical investigation is performed on modeling interfacial and surface waves in a layered fluid system. The physical system consists of two immiscible liquid layers of different densities ρ1 > ρ2 with ...
  • Hamiltonian Structure of PI Hierarchy 
    Takasaki, K. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The string equation of type (2,2g+1) may be thought of as a higher order analogue of the first Painlevé equation that corresponds to the case of g = 1. For g > 1, this equation is accompanied with a finite set of commuting ...
  • Hamiltonian Systems Inspired by the Schrödinger Equation 
    Kovalchuk, V.; Slawianowski, J.J. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    Described is n-level quantum system realized in the n-dimensional ''Hilbert'' space H with the scalar product G taken as a dynamical variable. The most general Lagrangian for the wave function and G is considered. Equations ...
  • Hamilton-Jacobi Theory and Moving Frames 
    MacArthur, J.D.; McLenaghan, R.G.; Smirnov, R.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2007)
    The interplay between the Hamilton-Jacobi theory of orthogonal separation of variables and the theory of group actions is investigated based on concrete examples.
  • Hamming distance between the strings generated by adjacency matrix of a graph and their sum 
    Ganagi, A.B.; Ramane, H.S. (Algebra and Discrete Mathematics, 2016)
    Let A(G) be the adjacency matrix of a graph G. Denote by s(v) the row of the adjacency matrix corresponding to the vertex v of G. It is a string in the set Zn2 of all n-tuples over the field of order two. The Hamming ...
  • Handle decompositions of simply-connected five-manifolds. I 
    Shkol’nikov, Yu.A. (Український математичний журнал, 1993)
    The handle decompositions of 1-connected smooth or piecewise linear 5-manifolds are considered. The basic notions and constructions necessary for proving further results are introduced.
  • Handle decompositions of simply-connected five-manifolds. II 
    Shkol'nikov, Yu.A. (Український математичний журнал, 1993)
    Handle decompositions of simply connected smooth or piecewise linear five-manifolds are considered. The basic notions and constructions necessary for proving further results are introduced.
  • Handle decompositions of simply-connected five-manifolds. III 
    Shkol`nikov, Yu.A. (Український математичний журнал, 1994)
    We prove the existence of the exact handle decomposition of a simply-connected smooth or PL 5-manifold with a standard simply-connected boundary of signature 0, the triviality of a 5-dimensional h-cobordism with ends of ...
  • H- and R-cross-sections of the full finite semigroup Tn 
    Pyekhtyeryev, V. (Algebra and Discrete Mathematics, 2003)
    All H− and R− cross-sections of the full finite semigroup Tn of all transformations of the set N = {1, 2, . . . , n} are described.
  • Hankel Determinants of Zeta Values 
    Haynes, A.; Zudilin, W. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    We study the asymptotics of Hankel determinants constructed using the values ζ(an+b) of the Riemann zeta function at positive integers in an arithmetic progression. Our principal result is a Diophantine application of the ...
  • Hardy Type Spaces Estimates for Multilinear Marcinkiewicz Operators 
    Liu, L. (Український математичний вісник, 2005)
    The purpose of this paper is to prove the boundedness for some multilinear operators generated by Marcinkiewicz integral operators and Lipschitz functions on Hardy and Herz-Hardy spaces.
  • Harmonic Analysis and Free Field Realization of the Takiff Supergroup of GL(1|1) 
    Babichenko, A.; Creutzig, T. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Takiff superalgebras are a family of non semi-simple Lie superalgebras that are believed to give rise to a rich structure of indecomposable representations of associated conformal field theories. We consider the Takiff ...
  • Harmonic Analysis in One-Parameter Metabelian Nilmanifolds 
    Ghorbel, A. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Let G be a connected, simply connected one-parameter metabelian nilpotent Lie group, that means, the corresponding Lie algebra has a one-codimensional abelian subalgebra. In this article we show that G contains a discrete ...
  • Harmonic Analysis on Quantum Complex Hyperbolic Spaces 
    Bershtein, O.; Kolisnyk, Y. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    In this paper we obtain some results of harmonic analysis on quantum complex hyperbolic spaces. We introduce a quantum analog for the Laplace-Beltrami operator and its radial part. The latter appear to be second order ...
  • Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative 
    Santana, A.J.; Stelmastchuk, S.N. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space. Furthermore, ...
  • Harmonic Oscillator on the SO(2,2) Hyperboloid 
    Petrosyan, D.R.; Pogosyan, G.S. (Symmetry, Integrability and Geometry: Methods and Applications, 2015)
    In the present work the classical problem of harmonic oscillator in the hyperbolic space H²₂: z²₀+z²₁−z²₂−z²₃=R² has been completely solved in framework of Hamilton-Jacobi equation. We have shown that the harmonic oscillator ...

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