Yves Meyer Awarded Abel Prize
Elaine Kehoe · Notices of the American Mathematical Society · 2017
systematically developed multiresolution analysis, a flexible and general framework for constructing wavelet bases, which places many of the earlier constructions on a more conceptual footing.Roughly speaking, multiresolution analysis allows one to explicitly construct an orthonormal wavelet basis from any bi-infinite sequence of nested subspaces of L 2 (R) that satisfy a few additional invariance properties.This work paved the way for the construction by Ingrid Daubechies of orthonormal bases of compactly supported wavelets.In the following decades, wavelet analysis has been applied in a wide variety of arenas as diverse as applied and computational harmonic analysis, data compression, noise reduction, medical imaging, archiving, digital cinema,