ABSTRACT
One of the vital ideas in mathematical analysis is the decomposition of a function as a linear combination of some basic functions of elementary form which we shall call building blocks. This idea of function decomposition, which dates back to the work of Fourier, facilitates the study of functions and the operators acting on them. Many building blocks have appeared over the years; the newest comer on the stage is wavelets. Wavelets are building blocks for a large number of function and generalized function spaces, but unlike other building blocks, they are generated from one single function by translation and dilation.
