Books by Christopher Heil

Wish Rings is about a boy named Majunior who learns of his great powers. His powers are brought on by the death of his parents. After Majunior masters his great powers of fire, he stops all sorts of evil that tries to take over earth. Then he uses the great powers of the Mighty Barbarian, which lives within mystical rings, known as the Wish Rings, to undo the damage done to earth by evil. All through Majunior's journey to save earth, he meets new and more powerful people who share their knowledge with him.

This textbook is a self-contained introduction to the abstract theory of bases and redundant frame expansions and their use in both applied and classical harmonic analysis. The four parts of the text take the reader from classical functional analysis and basis theory to modern time-frequency and wavelet theory.

This book traces the prehistory and initial development of wavelet theory, a discipline that has had a profound impact on mathematics, physics, and engineering. Interchanges between these fields during the last fifteen years have led to a number of advances in applications such as image compression, turbulence, machine vision, radar, and earthquake prediction. This book contains the seminal papers that presented the ideas from which wavelet theory evolved, as well as those major papers that developed the theory into its current form. These papers originated in a variety of journals from different disciplines, making it difficult for the researcher to obtain a complete view of wavelet theory and its origins. Additionally, some of the most significant papers have heretofore been available only in French or German. Heil and Walnut bring together these documents in a book that allows researchers a complete view of wavelet theory's origins and development.