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Noncommutative Trigonometry

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Wavelets, Multiscale Systems and Hypercomplex Analysis

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 167))

Abstract

A unified account of a noncommutative operator trigonometry originated in 1966 by this author and its further developments and applications to date will be given within a format of a historical trace. Applications to wavelet and multiscale theories are included. A viewpoint toward possible future enlargement will be fostered.

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Authors and Affiliations

  1. Department of Mathematics, University of Colorado, Boulder, CO, 80309-0395, USA

    Karl Gustafson

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  1. Karl Gustafson
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Editors and Affiliations

  1. Department of Mathematics, Ben-Gurion University of the Negev, P.O. Box 653, Beer Sheva, 84105, Israel

    Daniel Alpay

  2. Institut für Analysis und Scientiific Computing, Technische Universität Wien, Wiedner Hauptstrasse 8-10 / 101, 1040, Wien, Austria

    Annemarie Luger  & Harald Woracek  & 

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Gustafson, K. (2006). Noncommutative Trigonometry. In: Alpay, D., Luger, A., Woracek, H. (eds) Wavelets, Multiscale Systems and Hypercomplex Analysis. Operator Theory: Advances and Applications, vol 167. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7588-4_5

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