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19932011
most citedPolynomials for Crystal Frameworks and the Rigid Unit Mode Spectrum

3 citations · 3 across the 2 of their papers we have counts for

collaborators

10 papers

math.MG2011

Crystal Frameworks, Matrix-valued Functions and Rigidity Operators

S. C. Power

An introduction and survey is given of some recent work on the infinitesimal dynamics of \textit{crystal frameworks}, that is, of translationally periodic discrete bond-node struct…

math.CO2011★ 3 cited

Polynomials for Crystal Frameworks and the Rigid Unit Mode Spectrum

S. C. Power

To each discrete translationally periodic bar-joint framework $\C$ in $\bR^d$ we associate a matrix-valued function $Φ_\C(z)$ defined on the d-torus. The rigid unit mode spectrum $…

math.FA2007

Manifolds of Hilbert space projections

Rupert H. Levene, Stephen C. Power

The Hardy space H^2(R) for the upper half plane together with a unimodular function group representation u(λ) = \exp(i(λ_1ψ_1 + ... + λ_nψ_n)) for λin R^n, gives rise to a manifold…

math.FA2004

Reflexivity of the translation-dilation algebras on L^2(R)

R. H. Levene, S. C. Power

The hyperbolic algebra A_h, studied recently by Katavolos and Power, is the weak star closed operator algebra on L^2(R) generated by H^\infty(R), as multiplication operators, and b…

funct-an1995

On the C*-envelope of approximately finite-dimensional operator algebras

C. Laurie, S. C. Power

The C*-envelope of the limit algebra (or limit space) of a contractive regular system of digraph algebras (or digraph spaces) is shown to be an approximately finite C*-algebra and…

funct-an1994

On the Banach space isomorphism type of AF C*-algebras and their triangular subalgebras

S. C. Power

It is shown that all the approximately finite dimensional C*-algebras which are not of Type I are isomorphic as Banach spaces. This generalises the matroid case given previously by…