Department of Mathematics
Recent Submissions

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 ... 
Infinite products of finite simplegroups
(, 1996)We classify the sequences hSn j n 2 Ni of nite simple nonabelian groups such that Q n Sn has uncountable co nality. 
Duality for Ideals in the Grassmann Algebra
(Elsevier, 19960701)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 PIIPV
(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 ... 
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. ... 
Absolute continuity for operator valued completely positive maps on C* algebras
(American Institute of Physics, 20090211)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
(Elsevier, 20100901)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
(American Institute of Physics, 200110)Convergence of a "discrete" operator to a "continuum" operator is defined. As examples, the circular rotor, the onedimensional box, the harmonic oscillator, and the fractional Fourier transform are realized as limits of ... 
Closely embedded Krein spaces and applications to Dirac operators
(Elsevier, 20110415)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 ... 
Elementary proofs of some identities of Ramanujan for the RogersRamanujan functions
(Elsevier, 20120401)In a handwritten manuscript published with his lost notebook, Ramanujan stated without proofs forty identities for the RogersRamanujan functions. With one exception all of Ramanujan's identities were proved. In this paper, ... 
Explicit separating invariants for cyclic pgroups
(Elsevier, 201102)We consider a finitedimensional indecomposable modular representation of a cyclic pgroup 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 7cores with prescribed BGrank
(Elsevier, 20081128)Let π be a partition. BGrank(π) is defined as an alternating sum of parities of parts of π [A. Berkovich, F.G. Garvan, On the AndrewsStanley refinement of Ramanujan's partition congruence modulo 5 and generalizations, ... 
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)