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 ... 
Mackey functions, induction from restriction functors and coinduction from transfer functors
(Elsevier, 20070901)Boltje's plus constructions extend two wellknown constructions on Mackey functors, the fixedpoint functor and the fixedquotient functor. In this paper, we show that the plus constructions are induction and coinduction ... 
Bohr Phenomena for LaplaceBeltrami Operators
(Elsevier, 20060925)We investigate a Bohr phenomenon on the spaces of solutions of weighted LaplaceBeltrami operators associated with the hyperbolic metric of the unit ball in ℂN. These solutions do not satisfy the usual maximum principle, ... 
Triplets of Closely Embedded Dirichlet type spaces on the Unit Polydisc
(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 ... 
Primary decomposition of the Jgroups of complex projective and lens spaces
(Elsevier, 20060801)We determine the decomposition of Jgroups of complex projective and lens spaces as a directsum of cyclic groups. © 2005 Elsevier B.V. All rights reserved. 
Linear colorings of simplicial complexes and collapsing
(Elsevier, 200710)A vertex coloring of a simplicial complex Δ is called a linear coloring if it satisfies the property that for every pair of facets (F1, F2) of Δ, there exists no pair of vertices (v1, v2) with the same color such that v1 ... 
On the infimum for quantum effects
(American Institute of Physics, 2005)The quantum effects for a physical system can be described by the set E (H) of positive operators on a complex Hilbert space H that are bounded above by the identity operator. While a general effect may be unsharp, the ... 
Interplay of gouge, fluid pressure and porosity in fault zones
(Elsevier, 200305)The objective of this study is to demonstrate how fault dynamics may naturally be placed in the context of incremental stress theory, rock textural evolution modeling and standard conservation laws. Casting the fault ... 
A note on the Hilbert ideals of a cyclic group of prime order
(Elsevier, 20071201)The Hilbert ideal is the ideal generated by positive degree invariant polynomials of a finite group. For a cyclic group of prime order p, we show that the image of the transfer lie in the ideal generated by invariants of ... 
Homotopy representations over the orbit category
(International Press, 20141124)Let G be a finite group. The unit sphere in a finitedimensional orthogonal Grepresentation motivates the definition of homotopy representations, due to tom Dieck. We introduce an algebraic analogue and establish its basic ... 
Dual piRickart Modules
(, 2012)Let R be an arbitrary ring with identity and M a right Rmodule with S = EndR(M). In this paper we introduce dual Rickart modules as a generalization of regular rings as well as that of dual Rickart modules. The module ... 
Tornehave morphisms, II: The lifted Tornehave morphism and the dual of the Burnside functor
(Elsevier, 201010)We introduce the lifted Tornehave morphism tornπ : K → B*, an inflation Mackey morphism for finite groups, π being a set of primes, K the kernel of linearization, and B* the dual of the Burnside functor. For pgroups, tornp ... 
Bockstein closed 2group extensions and cohomology of quadratic maps
(Elsevier, 20120501)A central extension of the form E: 0 → V→ G→ W→ 0, where V and W are elementary abelian 2groups, is called Bockstein closed if the components qi∈H *(W,F 2) of the extension class of E generate an ideal which is closed ... 
Real representation spheres and the real monomial Burnside ring
(Elsevier, 20120301)We introduce a restriction morphism, called the Boltje morphism, from a given ordinary representation functor to a given monomial Burnside functor. In the case of a sufficiently large fibre group, this is Robert Boltje's ... 
A Tate cohomology sequence for generalized Burnside rings
(Elsevier, 200907)We generalize the fundamental theorem for Burnside rings to the mark morphism of plus constructions defined by Boltje. The main observation is the following: If D is a restriction functor for a finite group G, then the ... 
Continuum quantum systems as limits of discrete quantum systems. I: state vectors
(Elsevier, 20011020)Dynamical systems on "continuum" Hilbert spaces may be realized as limits of dynamical systems on "discrete" (possibly finitedimensional) Hilbert spaces. In this first of four papers on the topic, the "continuum" and ... 
Grobner bases for the Hilbert ideal and coinvariants of the dihedral group D2p
(WileyVCH Verlag, 201211)We consider a finite dimensional representation of the dihedral group D2p over a field of characteristic two where p is an odd integer and study the corresponding Hilbert ideal IH. We show that IH has a universal Gr¨obner ... 
Fusion System and group actions with abelian isotropy subgroups
(Edinburgh Mathematical Society, 2013)We prove that if a finite group G acts smoothly on a manifold M such that all the isotropy subgroups are abelian groups with rank ≤ k, then G acts freely and smoothly on M × double struk S signn1 ×... × double struk S ...