A First Course on Wavelets

Assuming minimal prerequisites, A First Course on Wavelets is an outstanding introduction to the basic properties of wavelets, from background mathematics to powerful applications. The authors adopt the approach that all orthonormal wavelets are completely characterized by two simple equations, and that most properties and constructions of wavelets can be developed using these two equations. They detail these elementary methods for constructing wavelets and present several new classes of wavelets. The text includes many graphic displays of constructed wavelets and explores applications to harmonic analysis and other branches of analysis.