The construction of wavelet sets

JJ Benedetto, RL Benedetto - Wavelets and Multiscale Analysis: Theory …, 2011 - Springer
Sets Ω in d-dimensional Euclidean space are constructed with the property that the inverse
Fourier transform of the characteristic function 1 Ω of the set Ω is a single dyadic orthonormal …

[PDF][PDF] The geometry of extension principles

T Stavropoulos - Houston J. Math, 2012 - Citeseer
THE GEOMETRY OF EXTENSION PRINCIPLES 1. Introduction Extension Principles address a
fundamental problem in wavelet construction Page 1 Houston Journal of Mathematics c 2012 …

The infimum cosine angle between two finitely generated shift-invariant spaces and its applications

HO Kim, RY Kim, JK Lim - Applied and Computational Harmonic Analysis, 2005 - Elsevier
An expression of the infimum cosine angle between two finite dimensional subspaces is
given in terms of Gramians and is applied to find a useful formula for the infimum cosine …