We describe bases of smooth wavelets where the coeecients are obtained by integration against ((nite combinations of) boxcar kernels rather than against traditional smooth wavelets. Bases of this type were rst developed in work of Tchamitchian and of Cohen, Daubechies, and Feauveau. Our approach emphasizes the idea of average-interpolation { synthesizing a smooth function on the line having pre...

Ten years ago, Deslauriers and Dubuc introduced a process for interpolating data observed at the integers, producing a smooth function deened on the real line. In this note we point out that their idea admits many fruitful generalizations including: Interpolation of other linear functionals of f (not just point values), yielding other reenement schemes and biorthogonal wavelet transforms; Inter...

We show that a number of contenders for an abstract and general notion of compactness, applicable in particular to computability theory and constructive mathematics, coincide in some well known frameworks. We consider compactness of sets rather than of spaces, where we replace topologies by the restriction to constructive reasoning, as in the work by a number of authors, including Penon, Dubuc,...

Mañero M et al. Phrenic nerve paralysis during cryoballoon ablation for atrial fibrillation: a comparison between the firstand second-generation balloon. Heart Rhythm 2013;10:1318–24. 15. Franceschi F, Dubuc M, Guerra PG, Khairy P. Phrenic nerve monitoring with diaphragmatic electromyography during cryoballoon ablation for atrial fibrillation: the first human application. Heart Rhythm 2011;8:10...

This report aims to present my research updates on distance function wavelets (DFW) based on the fundamental solutions and general solutions of the Helmholtz, modified Helmholtz, and convection-diffusion equations, which include the isotropic HelmholtzFourier (HF) transform and series, the Helmholtz-Laplace (HL) transform, and the anisotropic convection-diffusion wavelets and ridgelets. The lat...

This document provides minor corrections to and obsoletes RFC 4327. This memo defines a portion of the Management Information Base (MIB) for use with network management protocols in the Internet community. In particular, it describes managed objects for modeling the Link Management Protocol (LMP). Dubuc, et al. Standards Track [Page 1] RFC 4631 LMP-MIB Module September 2006

Bernard Thibault, MD; Anique Ducharme, MD, MSc; François Harel, MD, PhD; Michel White, MD; Eileen O’Meara, MD; Marie-Claude Guertin, PhD; Joel Lavoie, PhD; Nancy Frasure-Smith, PhD; Marc Dubuc, MD; Peter Guerra, MD; Laurent Macle, MD; Léna Rivard, MD; Denis Roy, MD; Mario Talajic, MD; Paul Khairy, MD, PhD; for the Evaluation of Resynchronization Therapy for Heart Failure (GREATER-EARTH) Investi...