Analysis and Probability Wavelets, Signals, Fractals

• Main Author: Jorgensen, Palle E.T (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Series: Graduate Texts in Mathematics, 234
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Applied mathematics.; Engineering mathematics.; Information theory.; Probabilities.; Probability Theory and Stochastic Processes.; Analysis.; Applications of Mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Signal, Image and Speech Processing.; Information and Communication, Circuits.

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 a...

Table of Contents:

• Introduction: Measures on path space
• Transition probabilities: Random walk
• ?o vs. ?
• A case study: Duality for Cantor sets
• Infinite products
• The minimal eigenfunction
• Generalizations and applications
• Pyramids and operators
• Pairs of representations of the Cuntz algebras , and their application to multiresolutions.