A Mathematical Introduction to Wavelets

Starting with a detailed and selfcontained discussion of the general construction of one dimensional wavelets from multiresolution analysis, this book presents in detail the most important wavelets: spline wavelets, Meyer's wavelets and wavelets with compact support. It then moves to the corresponding multivariable theory and gives genuine multivariable examples. This will be an invaluable book for those wishing to learn about the mathematical foundations of wavelets.