Preface -- Contents -- Acknowledgments -- Introduction: Measures onPath Space -- List of Figures -- Index of Symbols -- Transition Probabilities: Random Walk -- N0 vs. Z -- A Case Study: Duality for the Cantor Sets -- Infinite Products -- The Minimal Eigenfunction -- Generalizations and Applications -- Pyramids and Operators -- Pairs of Representations of the Cuntz Algebras On and their Application to Multiresolutions -- Appendices: Polyphase Matrices and the Operator AlgebraON -- References -- Comments on Signal/Image Processing Terminology -- Afterword: Computational Math -- List of Names and Discoveries.-General Index -- About the Cover Figure
Summary
"This book, combining analysis and tools from mathematical probability, focuses on a systematic and novel presentation of recent trends in pure and applied mathematics: the emergence of three fields, wavelets, signals and fractals. The unity of basis constructions and their expansions is emphasized as the starting point for the development of bases that are computationally efficient for use in several areas from wavelets to fractals. The book brings together tools from engineering and math, especially from signal- and image processing, and from harmonic analysis and operator theory. The presentation is aimed at graduate students, as well as users from a diverse spectrum of applications."--Jacket
Bibliography
Includes bibliographical references (pages 237-250) and index
