Analysis and Probability Wavelets, Signals, Fractals /

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...

Description complète

Détails bibliographiques
Cote:Libro Electrónico
Auteur principal: Jorgensen, Palle E. T. (Auteur)
Collectivité auteur: SpringerLink (Online service)
Format: Électronique eBook
Langue:Inglés
Publié: New York, NY : Springer New York : Imprint: Springer, 2006.
Édition:1st ed. 2006.
Collection:Graduate Texts in Mathematics, 234
Sujets:
Probabilities.
Mathematical analysis.
Mathematics.
Engineering mathematics.
Engineering > Data processing.
Signal processing.
Computer science > Mathematics.
Probability Theory.
Analysis.
Applications of Mathematics.
Mathematical and Computational Engineering Applications.
Signal, Speech and Image Processing .
Mathematical Applications in Computer Science.
Accès en ligne:Texto Completo
Table des matières:
  • 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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