Department of Mathematics
Recent Submissions

On the LevyRaikovMarcinkiewicz Theorem
(Elsevier, 20030201)Let μ be a finite nonnegative Borel measure. The classical LévyRaikovMarcinkiewicz theorem states that if its Fourier transform μ̂ can be analytically continued to some complex halfneighborhood of the origin containing ... 
On the LevyRaikovMarcinkiewicz theorem
(Elsevier, 20040801)Let μ be a finite nonnegative Borel measure. The classical LévyRaikovMarcinkiewicz theorem states that if its Fourier transform μ̂ can be analytically continued to some complex halfneighborhood of the origin containing ... 
Dilations of some VHspaces operator valued invariant kernels
(Springer Verlag, 2012)We investigate VHspaces (Vector Hilbert spaces, or Loynes spaces) operator valued Hermitian kernels that are invariant under actions of *semigroups from the point of view of generation of *representations, linearizations ... 
Integrable discrete systems on R and related dispersionless systems
(American Institute of Physics, 2008)A general framework for integrable discrete systems on ℝ, in particular, containing lattice soliton systems and their qdeformed analogs, is presented. The concept of regular grain structures on R, generated by discrete ... 
Pauli algebraic forms of normal and nonnormal operators
(Optical Society of America, 2007)A unified treatment of the Pauli algebraic forms of the linear operators defined on a unitary linear space of two dimensions over the field of complex numbers C1 is given. The Pauli expansions of the normal and nonnormal ... 
AdS waves as exact solutions to quadratic gravity
(American Physical Society, 20110408)We construct the antide Sitterplane wave solutions of generic gravity theory built on the arbitrary powers of the Riemann tensor and its derivatives in analogy with the ppwave solutions. In constructing the wave solutions ... 
Waring's problem for Beatty sequences and a local to global principle
(, 20140407)We investigate in various ways the representation of a large natural number N as a sum of s positive kth powers of numbers from a fixed Beatty sequence. Inter alia, a very general form of the local to global principle is ... 
A local version of the PawluckiPlesniak extension operator
(Elsevier, 200501)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 ... 
Easily monitored entagled state
(American Institute of Physics, 20021223)We discuss the generation and monitoring of durable atomic entangled state via Ramantype process, which can be used in the quantum information processing. (C) 2002 American Institute Of Physics. 
Random walks on symmethric spaces and inequalities for matrix spectra
(Elsevier, 20001101)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
(American Institute of Physics, 199912)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 pgroup
(Elsevier, 2001111)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 pgroup G. By studying s(G) we improve the ... 
Dynamical Systems and Poisson Structures
(American Institute of Physics, 2009)We first consider the Hamiltonian formulation of n=3 systems, in general, and show that all dynamical systems in ℝ3 are locally biHamiltonian. An algorithm is introduced to obtain Poisson structures of a given dynamical ... 
On contractibility of th orbit space of a Gposet of Brauer pairs
(Elsevier, 19990215)Given apblockbof a finite groupG, we show that theGposet of Brauer pairs strictly containing (1,b) has contractibleGorbit space. A similar result is proved for certainGposets ofpsubgroups. Both results generalise P. ... 
Poisson structure of dynamicalsystems with 3 degrees of freedom
(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 oneform in three dimensions. Advantage is taken of this fact and the theory of foliations ... 
Reducts of random hypergraphs
(Elsevier, 19960805)For each k > 1, let rk be the countable universal homogeneous khypergraph. In this paper, we shall classify the closed permutation groups G such that AUt(rk ) < G < &vn(rk). In particular, we shall show that there exist ... 
Secondorder seconddegree Painleve equations related with Painleve IIV equations and Fuchsiantype transformations
(American Institute of Physics, 199907)Onetoone correspondence between the Painlevé IVI equations and certain secondorder seconddegree equations of Painlevé type is investigated. The transformation between the Painlevé equations and secondorder seconddegree ... 
Some identities and asymptotics for characters of the symmetric group
(Elsevier, 19980815) 
Analytic and asymptotic properties of generalized Linnik probability densities
(Elsevier, 19980115)This paper studies the properties of the probability density function pα,ν,n(x) of the nvariate generalized Linnik distribution whose characteristic function φα,ν,n(t) is given by where {norm of matrix}t{norm of matrix} ... 
Boundary Value Problems for Integrable equations compatible with the symmetry algebra
(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 HarryDym, KdV, and mKdV equations and ...