m at h . C A ] 1 6 Ju n 20 06 UNCERTAINTY PRINCIPLES FOR ORTHONORMAL SEQUENCES PHILIPPE

ar X iv : m at h / 06 06 67 1 v 1 [ m at h . A C ] 2 7 Ju n 20 06 PRÜFER ⋆ – MULTIPLICATION DOMAINS AND ⋆ – COHERENCE

ar X iv : m at h / 06 06 43 6 v 1 [ m at h . Q A ] 1 9 Ju n 20 06 NONCOMMUTATIVE POISSON STRUCTURES ON ORBIFOLDS

In this paper, we compute the Gerstenhaber bracket on the Hochschild cohomology of C∞(M)⋊Γ. Using this computation, we classify all the noncommutative Poisson structures on C∞(M) ⋊ Γ when M is a symplectic manifold. We provide examples of deformation quantizations of these noncommutative Poisson structures.

Uncertainty principles for orthonormal sequences

The aim of this paper is to provide complementary quantitative extensions of two results of H.S. Shapiro on the time-frequency concentration of orthonormal sequences in L2(R). More precisely, Shapiro proved that if the elements of an orthonormal sequence and their Fourier transforms are all pointwise bounded by a fixed function in L2(R) then the sequence is finite. In a related result, Shapiro ...

ar X iv : h ep - p h / 00 06 19 3 v 1 1 6 Ju n 20 00 ERROR PROPAGATION IN QCD FITS

The parton momentum density distributions of the proton were obtained from a NLO QCD analysis of HERA and fixed target structure function data. The resulting parton distribution set includes the full information on errors and correlations.

ar X iv : m at h / 06 02 44 0 v 2 [ m at h . C A ] 9 J an 2 00 7 Completeness , special functions and uncertainty principles over q - linear grids

We derive completeness criteria for sequences of functions of the form f(xλn), where λn is the nth zero of a suitably chosen entire function. Using these criteria, we construct complete nonorthogonal systems of FourierBessel functions and their q-analogues, as well as other complete sets of qspecial functions. We discuss connections with uncertainty principles over q-linear grids and the comple...