Department of Mathematics
Recent Submissions

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 ... 
Computer experiments to determine whether over or undercounting necessarily affects the determination of difference in cell number between experimental groups
(Elsevier, 20010330)Computer cell counting experiments were performed in order to examine the consequences of over or undercounting. The threedimensional reaggregate culture laboratory environment for cell counting was used as a model for ... 
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, ... 
Carleson Measures for Besov Spaces on the Ball with Applications
(Elsevier, 20070915)Carleson and vanishing Carleson measures for Besov spaces on the unit ball of CN are characterized in terms of Berezin transforms and Bergmanmetric balls. The measures are defined via natural imbeddings of Besov spaces ... 
Kernels, inflations, evaluations, and imprimitivity of Mackey functors
(Elsevier, 20080301)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 spacetimes
(Elsevier, 20091201)Conformal hyperbolicity, Conjugate points, Energy conditions, Scalar curvature map, Standard static spacetimes, Subharmonic functions, Warped products 
An induction theorem for the unit groups of Burnside rings of 2groups
(Elsevier, 20050701)Let G be a 2group 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
(, 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
(Elsevier, 20090201)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
(Elsevier, 200701)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) 169181] which states that if G is a finite group and k is a field ... 
Constructing modular separating invariants
(Elsevier, 20091201)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 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. ... 
Hurwitz equivalence of braid monodromies and extremal elliptic surfaces
(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 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 ... 
Uniqueness of Gibbs states in onedimensional antiferromagnetic model with longrange interaction
(American Institute of Physics, 199910)Uniqueness of Gibbs states in the onedimensional antiferromagnetic model with very longrange interaction is established. © 1999 American Institute of Physics.