Keinert F., Wavelets and multiwavelets

Birkh?user Boston, 2004. - 165 Pages. This concisely written book gives an elementary introduction to a classical area of mathematics --approximation theory -- in a way that naturally leads to the modern field of wavelets. The exposition, driven by ideas rather than technical details and proofs, demonstrates the dynamic nature of mathematics and the influence of classical disciplines on many areas of modern mathematics and applications.

The objectives of this book are to survey the theoretical results that are involved in the numerical analysis of wavelet methods, and more generally of multiscale decomposition methods, for numerical simulation problems, and to provide the most relevant examples of such mathematical tools in this particular context. Content: 1 Basic examples 1.1 Introduction 1.2 The Haar system 1.3 The Schauder hierarchical basis 1.4 Multivariate constructions 1...

Vanderbilt University Press, 1997. - 408 Pages. Refereed and edited papers on the most current developments in the theory and applications of curves and surfaces. During the week of June 27-July 3, 1996, the Third International Conference on Curves and Surfaces was held in Chamonix-Mont-Blanc (France). It was organized by the Association Fran?aise d'Approximation (A. F. A.). The Conference was attended by 275 mathematicians from 26 different...