ar X iv : m at h / 03 07 32 3 v 1 [ m at h . C A ] 2 4 Ju l 2 00 3 COMPLETENESS IN L 1 ( R ) OF DISCRETE TRANSLATES

ar X iv : m at h / 03 07 31 7 v 1 [ m at h . FA ] 2 3 Ju l 2 00 3 GROUPS , WAVELETS , AND WAVELET SETS

Wavelet and frames have become a widely used tool in mathematics, physics, and applied science during the last decade. This article gives an overview over some well known results about the continuous and discrete wavelet transforms and groups acting on R n. We also show how this action can give rise to wavelets, and in particular, MSF wavelets)in L 2 (R n).

ar X iv : m at h / 03 09 40 8 v 2 [ m at h . D G ] 1 2 Ju l 2 00 4 EINSTEIN METRICS ON SPHERES

ar X iv : 0 70 7 . 33 03 v 1 [ m at h . O A ] 2 3 Ju l 2 00 7 OPERATOR - VALUED FRAMES

ar X iv : m at h / 03 12 22 1 v 1 [ m at h . R A ] 1 1 D ec 2 00 3 three talks on noncommutative geometry

ar X iv : h ep - e x / 06 03 02 4 v 2 3 1 Ju l 2 00 6 Determining the upper limit of Γ ee for the Y ( 4260 )

By fitting the R values between 3.7 and 5.0 GeV measured by the BES collaboration, the upper limit of the electron width of the newly discovered resonance Y (4260) is determined to be 580 eV/c 2 at 90% C.L. Together with the BaBar measurement on Γee·B(Y (4260) → π + π − J/ψ), this implies a large decay width of Y (4260) → π + π − J/ψ final states.