Fractal Functions, Fractal Surfaces, and Wavelets
- Peter Massopust, Sam Houston State University
Fractal Functions, Fractal Surfaces, and Wavelets is the first systematic exposition of the theory of fractal surfaces, a natural outgrowth of fractal sets and fractal functions. It is also the first treatment to bring these general considerations to bear on the burgeoning field of wavelets. The text is based on Massopusts work on and contributions to the theory of fractal functions, and the author uses a number of tools--including analysis, topology, algebra, and probability theory--to introduce readers to this new subject. Though much of the material presented in this book is relatively current (developed in the past decade by the author and his colleagues) and fairly specialized, an informative background is provided for those
Mathematicians interested in a coherent and general presentation of the theory of fractal functions, surfaces, and wavelets; applied scientists in the fields of physics and computer science; libraries. Also suitable as a text for a seminar or workshop concentrating on different aspects of classical analysis.