|A method to compute the Discrete Wavelet Transform for certain wavelet lters is proposed that takes advantage of conjugacy properties in number elds. It is shown that wavelet lters derived from compactly supported orthonormal wavelets can be approximated with arbitrary precision by the proposed wavelet lters. Keywords|Wavelets, Quadrature Mirror Filters (QMF), number elds.

Description Functions for fitting general continuous-time Markov and hidden Markov multi-state models to longitudinal data. Both Markov transition rates and the hidden Markov output process can be modelled in terms of covariates. A variety of observation schemes are supported, including processes observed at arbitrary times, completely-observed processes, and censored states.

We establish a discrepancy theorem for signed measures, with a given positive part, which are supported on an arbitrary convex curve. As a main application, we obtain a result concerning the distribution of zeros of polynomials orthogonal on a convex domain.

This paper studies locally supported piecewise linear prewavelets on bounded triangulations of arbitrary topology. It is shown that a concrete choice of prewavelets form a basis of the wavelet space when the degree of the vertices in the triangulation is not too high. AMS subject classification: 41A15, 41A63, 65D07, 68U05.

The objective of this paper is to introduce a general scheme for the construction of interpolatory approximation formulas and compactly supported wavelets by using spline functions with arbitrary (nonuniform) knots. Both construction procedures are based on certain “optimally local” interpolatory fundamental spline functions which are not required to possess any approximation property.

We prove local “Lp-improving” estimates for a class of multilinear Radon-like transforms satisfying a strong transversality hypothesis. As a consequence, we obtain sharp multilinear convolution estimates for measures supported on fully transversal submanifolds of euclidean space of arbitrary dimension. We also prove global estimates for the same class of Radon-like transforms under a natural ho...

We give a proof of dynamical localization in the form of exponential decay of spatial correlations in the time evolution for the one-dimensional continuum Anderson model via the fractional moments method. This follows via exponential decay of fractional moments of the Green function, which is shown to hold at arbitrary energy and for any single-site distribution with bounded, compactly supporte...

In this investigation, by an analytical approach, the influence of several key parameters, especially temperature on sound isolation capacity symmetrically finite orthotropic laminated composite plate is studied. The modeled with classic thin-plate theory and assumed to be simply supported all four sides. incident acoustic pressure as a harmonic plane wave impinging at arbitrary angle. transmis...

We establish a discrepancy theorem for signed measures, with a given positive part, which are supported on an arbitrary convex curve. As a main application, we obtain a result concerning the distribution of zeros of polynomials orthogonal on a convex domain.

Gangbo and McCann showed that optimal transportation between hypersurfaces generally leads to multivalued optimal maps – bivalent when the target surface is strictly convex. In this paper we quantify Hölder continuity of the bivalent map optimizing average distance squared between arbitrary measures supported on Euclidean spheres.