The complex crown for homogeneous harmonic spaces

A theory of holomorphic extension of eigenfunctions on homogeneous harmonic spaces is developed.Comment: 17 pages, 1 figure

On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces

The eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces of arbitrary dimension are computed by separating variables in geodesic polar coordinates. These eigenfunctions are used to derive the heat kernel of the iterated Dirac operator on these spaces. They are then studied as cross sections of homogeneous vector bundles, and a group-theoretic derivation of the spinor spherical functions and heat kernel is given based on Harish-Chandra's formula for the radial part of the Casimir operator.Comment: 45 pages, latex, no figure

Harmonic analysis for spinors on real hyperbolic spaces

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A Generalization of a Theorem of Mammana

We prove that any linear ordinary differential operator with complex-valued coefficients continuous in an interval I can be factored into a product of first-order operators globally defined on I. This generalizes a theorem of Mammana for the case of real-valued coefficient

Maximally Symmetric Spin-Two Bitensors on S3S^3 and H3H^3

The transverse traceless spin-two tensor harmonics on $S^3$ and $H^3$ may be denoted by $T^{(kl)}{}_{ab}$. The index $k$ labels the (degenerate) eigenvalues of the Laplacian $\square$ and $l$ the other indices. We compute the bitensor $\sum_l T^{(kl)}{}_{ab}(x) T^{(kl)}{}_{a'b'}(x')^*$ where $x,x'$ are distinct points on a sphere or hyperboloid of unit radius. These quantities may be used to find the correlation function of a stochastic background of gravitational waves in spatially open or closed Friedman-Robertson-Walker cosmologies.Comment: 12 pages, RevTeX, uuencoded compressed .tex file, minor typos correcte

Contributo al femminile all’educazione tecnica e scientifica per le materie STEM. Fare rete tra scienziate/i, enti, università, associazioni, media e portatori d’interesse

Questo “contributo al femminile” è stato realizzato da un gruppo di perso- ne che ambisce a contribuire al miglioramento dell’educazione scolastica; è destinato a donne, uomini, ragazze, ragazzi, bambine e bambini per mettere in luce potenzialità, diseguaglianze, specificità di vita e professionali e favorire la parità di genere soprattutto negli ambiti tecnico-scientifici, in particolar modo nelle discipline STEM (Science, Technology, Engineering, Mathematics)

Energy Resolution Performance of the CMS Electromagnetic Calorimeter

The energy resolution performance of the CMS lead tungstate crystal electromagnetic calorimeter is presented. Measurements were made with an electron beam using a fully equipped supermodule of the calorimeter barrel. Results are given both for electrons incident on the centre of crystals and for electrons distributed uniformly over the calorimeter surface. The electron energy is reconstructed in matrices of 3 times 3 or 5 times 5 crystals centred on the crystal containing the maximum energy. Corrections for variations in the shower containment are applied in the case of uniform incidence. The resolution measured is consistent with the design goals