We are interested here in wavelet frames and their construction via multiresolution analysis (MRA); of particular interest to us are tight wavelet frames. The redundant representation offered byâ€¦ (More)

Identifying anomalies rapidly and accurately is critical to the efficient operation of large computer networks. Accurately characterizing important classes of anomalies greatly facilitates theirâ€¦ (More)

We provide a map Î˜ 7â†’ Î Î˜ which associates each finite set Î˜ of points in C with a polynomial space Î Î˜ from which interpolation to arbitrary data given at the points in Î˜ is possible and uniquely so.â€¦ (More)

A new approach for the construction of wavelets and prewavelets on R d from multiresolution is presented. The method uses only properties of shiftinvariant spaces and orthogonal projectors from L2(Râ€¦ (More)

The pair (6, P) of a point set 8 C RÂ¿ and a polynomial space P on Rd is correct if the restriction map P â€”Â» E8 : p t-> P|Q is invertible, i.e., if there is, for any / defined on 0 , a unique p G Pâ€¦ (More)

Measurement and estimation of packet loss characteristics are challenging due to the relatively rare occurrence and typically short duration of packet loss episodes. While active probe tools areâ€¦ (More)

The paper studies L.(IRd)-norm approximations from a space spanned by a discrete set of translates of a basis function 4. Attention here is restricted to functions 0 whose Fourier transform is smoothâ€¦ (More)

A simple characterization is given of finitely generated subspaces of L2(IR) which are invariant under translation by any (multi)integer, and used to give conditions under which such a space has aâ€¦ (More)

We consider the following problem: given a subspace Î› of the dual Î â€² of the space Î of svariate polynomials, find a space P âŠ‚ Î which is correct for Î› in the sense that each continuous linearâ€¦ (More)