Recent Submissions

  • Absolute continuity for operator valued completely positive maps on C* -algebras 

    Gheondea, A.; Kavruk, A. S. (American Institute of Physics, 2009-02-11)
    Motivated by applicability to quantum operations, quantum information, and quantum probability, we investigate the notion of absolute continuity for operator valued completely positive maps on C* -algebras, previously ...
  • Closed Embeddings of Hilbert Spaces 

    Cojuhari, P.; Gheondea, A. (Elsevier, 2010-09-01)
    Motivated by questions related to embeddings of homogeneous Sobolev spaces and to comparison of function spaces and operator ranges, we introduce the notion of closely embedded Hilbert spaces as an extension of that of ...
  • Closely embedded Krein spaces and applications to Dirac operators 

    Cojuhari, P.; Gheondea, A. (Elsevier, 2011-04-15)
    Motivated by energy space representation of Dirac operators, in the sense of K. Friedrichs, we recently introduced the notion of closely embedded Krein spaces. These spaces are associated to unbounded selfadjoint operators ...
  • Constructing modular separating invariants 

    Sezer, M. (Elsevier, 2009-12-01)
    We consider a finite dimensional modular representation V of a cyclic group of prime order p. We show that two points in V that are in different orbits can be separated by a homogeneous invariant polynomial that has degree ...
  • Random walks on symmethric spaces and inequalities for matrix spectra 

    Klyachko, A. (Elsevier, 2000-11-01)
    Using harmonic analysis on symmetric spaces we reduce the singular spectral problem for products of matrices to the recently solved spectral problem for sums of Hermitian matrices. This proves R.C. Thompson’s conjecture ...
  • On construction of recursion operators from Lax representation 

    Gurses, M.; Karasu, A.; Sokolov, V. V. (American Institute of Physics, 1999-12)
    In this work we develop a general procedure for constructing the recursion operators for nonlinear integrable equations admitting Lax representation. Several new examples are given. In particular, we find the recursion ...
  • Set covering and Serre's theorem on the cohomology algebra of a p-group 

    Yalcin, E. (Elsevier, 2001-11-1)
    We define a group theoretical invariant, denoted by s(G), as a solution of a certain set covering problem and show that it is closely related to chl(G), the cohomology length of a p-group G. By studying s(G) we improve the ...
  • On contractibility of th orbit space of a G-poset of Brauer pairs 

    Barker, L. (Elsevier, 1999-02-15)
    Given ap-blockbof a finite groupG, we show that theG-poset of Brauer pairs strictly containing (1,b) has contractibleG-orbit space. A similar result is proved for certainG-posets ofp-subgroups. Both results generalise P. ...
  • Integrable Equations on Time Scales 

    Gurses, M.; Guseinov, G. Sh.; Silindir, B. (, 2005)
    Integrable systems are usually given in terms of functions of continuous variables (on R), in terms of functions of discrete variables (on Z), and recently in terms of functions of q -variables (on Kq). We formulate the ...
  • Discretization of hyperbolic type Darboux integrable equations preserving integrability 

    Habibullin, I.; Zheltukhina, N.; Sakieva, A. (American Institute of Physics, 2011)
    A method of integrable discretization of the Liouville type nonlinear partial differential equations based on integrals is suggested. New examples of the discrete Liouville type models are presented. © 2011 American Institute ...
  • Infinite products of finite simple-groups 

    Saxl, J.; Shelah, S.; Thomas, S. (, 1996)
    We classify the sequences hSn j n 2 Ni of nite simple nonabelian groups such that Q n Sn has uncountable co nality.
  • Some identities and asymptotics for characters of the symmetric group 

    Klyachko, A.; Kurtaran, E. (Elsevier, 1998-08-15)
  • Boundary Value Problems for Integrable equations compatible with the symmetry algebra 

    Gurel, B.; Gurses, M.; Habibullin, I. (American Institute of Physics, 1995)
    Boundary value problems for integrable nonlinear partial differential equations are considered from the symmetry point of view. Families of boundary conditions compatible with the Harry-Dym, KdV, and mKdV equations and ...
  • Duality for Ideals in the Grassmann Algebra 

    Dibag, I. (Elsevier, 1996-07-01)
    A duality is established between left and right ideals of a finite dimensional Grassmann algebra such that if under the duality a left ideal I and a right ideal J correspond then I is the left annihilator of J and J the ...
  • Backlund transformations for discrete Painleve equations: Discrete P-II-P-V 

    Sakka, A.; Mugan, U. (Elsevier, 2006)
    Transformation properties of discrete Painleve´ equations are investigated by using an algorithmic method. This method yields explicit transformations which relates the solutions of discrete Painleve´ equations, discrete ...
  • Integrable coupled KdV systems 

    Gurses, M.; Karasu, A. (American Institute of Physics, 1998-04)
    We give the conditions for a system of N-coupled Korteweg de Vries (KdV) type of equations to be integrable. We find the recursion operators of each subclass and give all examples for N=2. © 1998 American Institute of Physics.
  • Variable coefficient third order Korteweg-de Vries type of equations 

    Gurses, M.; Karasu, A. (American Institute of Physics, 1995)
    It is shown that the integrable subclasses of the equations q,t=f(x,t)q,s +H(x,t,q,q,,) are the same as the integrable subclasses of the equations q,t= q,3 + F(q,q, *). 0 1995 American Institute of Physics. Classification
  • A mixture representation of the Linnik distribution 

    Kotz, S.; Ostrovskii, I. V. (Elsevier, 1996-01)
    Linnik distribution with the characteristic function ~o,(tl = 1/(1 + Itl=), 0 < ~ < 2, is shown to possess the following property. Let X,,Xp be random variables possessing the Linnik distribution with parameters ~ and (0 ...

    Dibag, I. (Elsevier, 1994-03-01)
  • Equivariant CW-complexes and the orbit category 

    Hambleton, I.; Pamuk, S.; Yalcin, E. (, 2013)
    We give a general framework for studying G-CW complexes via the orbit category. As an application we show that the symmetric group G D S5 admits a finite G-CW complex X homotopy equivalent to a sphere, with cyclic isotropy ...

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