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 ...
  • Continuum quantum systems as limits of discrete quantum systems. III. Operators 

    Barker, L. (American Institute of Physics, 2001-10)
    Convergence of a "discrete" operator to a "continuum" operator is defined. As examples, the circular rotor, the one-dimensional box, the harmonic oscillator, and the fractional Fourier transform are realized as limits 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 ...
  • Computer experiments to determine whether over- or under-counting necessarily affects the determination of difference in cell number between experimental groups 

    Heller, B.; Schweingruber, F.; Guvenc, D.; Heller, A. (Elsevier, 2001-03-30)
    Computer cell counting experiments were performed in order to examine the consequences of over- or under-counting. The three-dimensional reaggregate culture laboratory environment for cell counting was used as a model for ...
  • Elementary proofs of some identities of Ramanujan for the Rogers-Ramanujan functions 

    Yesilyurt, H. (Elsevier, 2012-04-01)
    In a handwritten manuscript published with his lost notebook, Ramanujan stated without proofs forty identities for the Rogers-Ramanujan functions. With one exception all of Ramanujan's identities were proved. In this paper, ...
  • Explicit separating invariants for cyclic p-groups 

    Sezer, M. (Elsevier, 2011-02)
    We consider a finite-dimensional indecomposable modular representation of a cyclic p-group and we give a recursive description of an associated separating set: We show that a separating set for a representation can be ...
  • New identities for 7-cores with prescribed BG-rank 

    Berkovich, A.; Yesilyurt, H. (Elsevier, 2008-11-28)
    Let π be a partition. BG-rank(π) is defined as an alternating sum of parities of parts of π [A. Berkovich, F.G. Garvan, On the Andrews-Stanley refinement of Ramanujan's partition congruence modulo 5 and generalizations, ...
  • Carleson Measures for Besov Spaces on the Ball with Applications 

    Kaptanoglu, H. T. (Elsevier, 2007-09-15)
    Carleson and vanishing Carleson measures for Besov spaces on the unit ball of CN are characterized in terms of Berezin transforms and Bergman-metric balls. The measures are defined via natural imbeddings of Besov spaces ...
  • Kernels, inflations, evaluations, and imprimitivity of Mackey functors 

    Yaraneri, E. (Elsevier, 2008-03-01)
    Let M be a Mackey functor for a finite group G. By the kernel of M we mean the largest normal subgroup N of G such that M can be inflated from a Mackey functor for G / N. We first study kernels of Mackey functors, and ...
  • Implications of energy conditions on standard static space-times 

    Dobarro, F.; Unal, B. (Elsevier, 2009-12-01)
    Conformal hyperbolicity, Conjugate points, Energy conditions, Scalar curvature map, Standard static space-times, Sub-harmonic functions, Warped products
  • An induction theorem for the unit groups of Burnside rings of 2-groups 

    Yalcin, E. (Elsevier, 2005-07-01)
    Let G be a 2-group and B(G)× denote the group of units of the Burnside ring of G. For each subquotient H/K of G, there is a generalized induction map from B(H/K)× to B(G)× defined as the composition of inflation and ...
  • 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 ...
  • Third order differential equations with fixed critical points 

    Adjabi, Y.; Jrad, F.; Kessi, A.; Mugan, U. (Elsevier, 2009-02-01)
    The singular point analysis of third order ordinary differential equations which are algebraic in y and y′ is presented. Some new third order ordinary differential equations that pass the Painlevé test as well as the known ...
  • A theorem of Jon F. Carlson on filtrations of modules 

    Altunbulak, F.; Yalcin, E. (Elsevier, 2007-01)
    We give an alternative proof to a theorem of Carlson [J.F. Carlson, Cohomology and induction from elementary abelian subgroups, Quart. J. Math. 51 (2000) 169-181] which states that if G is a finite group and k is a field ...
  • 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 ...
  • 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. ...
  • Hurwitz equivalence of braid monodromies and extremal elliptic surfaces 

    Degtyarev, A. (London Mathematical Society, 2011)
    We discuss the equivalence between the categories of certain ribbon graphs and subgroups of the modular group Γ and use this equivalence to construct exponentially large families of not Hurwitz equivalent simple braid ...
  • Poisson structure of dynamical-systems with 3 degrees of freedom 

    Gumral, H.; Nutku, Y. (American Institute of Physics, 1993)
    It is shown that the Poisson structure of dynamical systems with three degrees of freedom can be defined in terms of an integrable one-form in three dimensions. Advantage is taken of this fact and the theory of foliations ...
  • Uniqueness of Gibbs states in one-dimensional antiferromagnetic model with long-range interaction 

    Kerimov, A. (American Institute of Physics, 1999-10)
    Uniqueness of Gibbs states in the one-dimensional antiferromagnetic model with very long-range interaction is established. © 1999 American Institute of Physics.

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