Applications of Wavelet Multiresolution Analysis

This work results from a selection of the contributions presented in the mini symposium "Applications of Multiresolution Analysis with "Wavelets", presented at the ICIAM 19, the International Congress on Industrial and Applied Mathematics held at Valencia, Spain, in July 2019. The presented developments and applications cover different areas, including filtering, signal analysis for damage detection, time series analysis, solutions to boundary value problems and fractional calculus. This bunch of examples highlights the importance of multiresolution analysis to face problems in several and varied disciplines. The book is addressed to researchers in the field.

Autorentext

María Inés Troparevsky graduated from the University of Buenos Aires where she also obtained her PhD. in Mathematics. Currently, she is a Professor at the Faculty of Engineering, University of Buenos Aires. She is the director of the research group *Inverse problems and Applications *at the Faculty of Engineering where theoretical analysis and development of numerical algorithms to solve inverse problems are studied. She is the author of several scientific publications. Her interests cover inverse problems, fractional calculus, and its applications.

Silvia Seminara is a Professor of Mathematical Analysis at the Faculty of Engineering, University of Buenos Aires. She obtained a Master's degree in Mathematical Engineering at the University of Buenos Aires. She is the author of several scientific publications in areas of applied mathematics and mathematical education.

Juan Pablo Muszkats has obtained a Master's degree in Mathematical Engineering, University of Buenos Aires. He presently works in the UNNOBA and Buenos Aires universities, where he is Professor of Mathematical Analysis and Mathematical Modelling, respectively. He is an active member of the Non-Stationary and Non-Linear Time Series Analysis Group, where wavelet multiresolution analysis is applied to several phenomena.

Inhalt
Fabio, M. et al., Approximate Solutions to Fractional Boundary Value Problems by Wavelet Decomposition Methods.- Calderón, L., Wavelet B-splines bases on the interval for solving boundary value problems.- La Mura, G. et al, Kalman-Wavelet combined Filtering.- Arouxet, M. et al., Using the Wavelet Transform for Time Series Analysis.- Muszkats, J. et al., Application of Wavelet Transform to Damage Detection in Brittle Materials via Energy and Entropy Evaluation of Acoustic Emission Signals.