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Organizers:
María Teresa Martín, FCE-UNLP CONICET, teremartin.map@gmail.com
Victoria Vampa, FCE-UNLP, victoriavampa@gmail.com
Description:
The Wavelets Theory is a powerful mathematical tool developed in the late twentieth century that has attracted great attention in various fields of engineering, physics and applied sciences, such as signal and image processing, pattern recognition, quantum physics, diagnostic imaging, etc. Wavelets are elementary functions, oscillating, soft, with compact support or rapid decay. They provide orthogonal bases, Riesz basis or frames of finite energy signals space. Their properties make them attractive elements for the solutions of weak form of differential equations, since they can be used to effectively represent solutions with pronounced gradients. The analysis based on the wavelet transform represents a perfect combination of functional analysis, Fourier transform, harmonic analysis and numerical analysis.
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