Analysis and probability : wavelets, signals, fractals

Bibliographic Information

Analysis and probability : wavelets, signals, fractals

Palle E.T. Jorgensen ; with graphics by Brian Treadway

(Graduate texts in mathematics, 234)

Springer, c2006

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Note

Includes bibliographical references (p. [237]-250) and index

Description and Table of Contents

Description

Combines analysis and tools from probability, harmonic analysis, operator theory, and engineering (signal/image processing) Interdisciplinary focus with hands-on approach, generous motivation and new pedagogical techniques Numerous exercises reinforce fundamental concepts and hone computational skills Separate sections explain engineering terms to mathematicians and operator theory to engineers Fills a gap in the literature

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.

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