Recent Submissions

  • 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, ...
  • On lifting of operators to Hilbert spaces induced by positive selfadjoint operators 

    Cojuhari, P.; Gheondea, A. (Elsevier, 2005-04-15)
    We introduce the notion of induced Hilbert spaces for positive unbounded operators and show that the energy spaces associated to several classical boundary value problems for partial differential operators are relevant ...
  • 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 ...
  • A filtration of the modularrepresentation functor 

    Yaraneri, E. (Elsevier, 2007-12-01)
    Let F and K be algebraically closed fields of characteristics p > 0 and 0, respectively. For any finite group G we denote by K RF (G) = K ⊗Z G0 (F G) the modular representation algebra of G over K where G0 (F G) is the ...
  • Free actions on products of spheres at high dimensions 

    Okutan, O. B.; Yalcin, E. (Mathematical Sciences Publishers, 2013-05-31)
    A classical conjecture in transformation group theory states that if G = (Z/p)(r) acts freely on a product of k spheres S-n1 x ... x S-nk, then r <= k. We prove this conjecture in the case where the dimensions {n(i)} are ...
  • A generalization of a modular identity of Rogers 

    Yesilyurt, H. (Elsevier, 2009-06)
    In a handwritten manuscript published with his lost notebook, Ramanujan stated without proofs forty identities for the Rogers-Ramanujan functions. Most of the elementary proofs given for these identities are based on ...
  • 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.
  • Genotypes of irreducible representations of finite p-groups 

    Barker, L. (Elsevier, 2006-12-15)
    For any characteristic zero coefficient field, an irreducible representation of a finite p-group can be assigned a Roquette p-group, called the genotype. This has already been done by Bouc and Kronstein in the special cases ...
  • Triplets of Closely Embedded Dirichlet type spaces on the Unit Polydisc 

    Cojuhari, P.; Gheondea, A. (Springer Basel, 2013)
    We propose a general concept of triplet of Hilbert spaces with closed embeddings, instead of continuous ones, and we show how rather general weighted L2 spaces yield this kind of generalized triplets of Hilbert spaces for ...
  • On a problem of H.Shapiro 

    Ostrovskii, I.; Ulanovskii, A. (Elsevier, 2004-02)
    Let μ be a real measure on the line such that its Poisson integral M(z) converges and satisfies M(x+ iy) ≤ Ae-cyα, y → + ∞, for some constants A, c > 0 and 0 < α ≤ 1. We show that for 1/2 < α ≤ 1 the measure μ must have ...
  • On the Levy-Raikov-Marcinkiewicz Theorem 

    Ostrovskii, I.; Ulanovskii, A. (Elsevier, 2003-02-01)
    Let μ be a finite non-negative Borel measure. The classical Lévy-Raikov-Marcinkiewicz theorem states that if its Fourier transform μ̂ can be analytically continued to some complex half-neighborhood of the origin containing ...
  • 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 ...
  • Family of scaling chirp functions, diffraction and holography 

    Onural, L.; Kocatepe, M. (Institute of Electrical and Electronics Engineers, 1995-07)
    It is observed that diffraction is a convolution operation with a chirp kernel whose argument is scaled. Family of functions obtained from a prototype by shifting and argument scaling form the essential ground for wavelet ...
  • Mackey functions, induction from restriction functors and coinduction from transfer functors 

    Coskun, O. (Elsevier, 2007-09-01)
    Boltje's plus constructions extend two well-known constructions on Mackey functors, the fixed-point functor and the fixed-quotient functor. In this paper, we show that the plus constructions are induction and coinduction ...
  • A local version of the Pawlucki-Plesniak extension operator 

    Altun, M.; Goncharov, A. (Elsevier, 2005-01)
    Using local interpolation of Whitney functions, we generalize the Pawłucki and Pleśniak approach to construct a continuous linear extension operator. We show the continuity of the modified operator in the case of generalized ...
  • 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 ...
  • Essential cohomology for elementary abelian p-groups 

    Altunbulak Aksu, F.; Green, D. J. (Elsevier, 2009-12)
    For an odd prime p the cohomology ring of an elementary abelian p-group is polynomial tensor exterior. We show that the ideal of essential classes is the Steenrod closure of the class generating the top exterior power. As ...
  • On the classification of Darboux integrable chains 

    Habibullin, I.; Zheltukhina, N.; Pekcan, A. (American Institute of Physics, 2008)
    We study differential-difference equation (d/dx) t (n+1,x) =f (t (n,x),t (n+1,x), (d/dx) t (n,x)) with unknown t (n,x) depending on continuous and discrete variables x and n. Equation of such kind is called Darboux integrable, ...
  • Recursion operators of some equations of hydrodynamic type 

    Gurses, M.; Zheltukhin, K. (American Institute of Physics, 2001-03)
    We give a general method for constructing recursion operators for some equations of hydrodynamic type, admitting a nonstandard Lax representation. We give several examples for N = 2 and N = 3 containing the equations of ...
  • On plane sextics with double singular points 

    Degtyarev, A. (, 2013)
    We compute the fundamental groups of five maximizing sextics with double singular points only; in four cases, the groups are as expected. The approach used would apply to other sextics as well, given their equations.

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