Wavelet Frames
John Paul Ward, EPFL STI LIB

Seminar • 27 August 2012

Abstract
The primary focus of this talk will be tight wavelet frames of $L_2(\mathbb{R}^d)$. Basic properties of frames and tight wavelet frames will be covered, before introducing a new wavelet frame construction in dimensions $d \geq 2$. It will be shown how initial frames—based on an isotropic mother wavelet—can be transformed into new frames using Fourier multipliers. Examples of the resulting wavelets will be provided to illustrate the construction.