Analysis and probability : wavelets, signals, fractals
著者
書誌事項
Analysis and probability : wavelets, signals, fractals
（Graduate texts in mathematics, 234）
Springer, c2006
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注記
Includes bibliographical references (p. [237]-250) and index
内容説明・目次
内容説明
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
目次
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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