Abstract

These notes were created by Maŕia Cristina Pereyra for the short course Wavelets: Theory and Applications, at the I Panamerican Advanced Studies Institute in Computational Science and Engineering (PASI), Universidad Nacional de Cordoba, Cordoba, Argentina, June 24–July 5, 2002. They were modified and extended by Martin J. Mohlenkamp for the short course Wavelets and Partial Differential Equations, at the II Panamerican Advanced Studies Institute in Computational Science and Engineering, Universidad Nacional Autonoma de Honduras, Tegucigalpa, Honduras, June 14–18, 2004. They are being slightly modified and actualized once more by by Maŕia Cristina Pereyra for the short course From Fourier to Wavelets at the III Panamerican Advanced Studies Institute in Computational Science and Engineering (PASI), Universidad Tecnologica de la Mixteca, Huajuapan de Leon, Oaxaca, Mexico, July 16–21, 2006. We would like to thank the organizers for the invitations to participate in these institutes. We hope that these notes will help you to begin your adventures with wavelets.

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