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Star Products and Certain Star Product Functions

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Geometric Methods in Physics

Part of the book series: Trends in Mathematics ((TM))

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Abstract

The aim of this note is to provide a short introduction to non-formal star products with some concrete examples. We discuss star exponentials, and their application to trigonometric functions following Eisenstein.

To the memory of Boris Fedosov

Mathematics Subject Classification (2010). Primary 53D55; Secondary 11M36.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Tokyo University of Science, Kagurazaka 1–3 Shinjyuku-ku, Tokyo, 162 8601, Japan

    Mari Iida, Chishu Tsukamoto & Akira Yoshioka

Authors
  1. Mari Iida
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  2. Chishu Tsukamoto
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  3. Akira Yoshioka
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Corresponding author

Correspondence to Mari Iida .

Editor information

Editors and Affiliations

  1. Departamento de Física, CINVESTAV, Mexico City, Distrito Federal, Mexico

    Piotr Kielanowski

  2. Dept. of Mathematics and Statistics, Concordia University, Montreal, Québec, Canada

    S. Twareque Ali

  3. Department of Mathematics - MC J415, Brock University, St. Catharines, Ontario, Canada

    Alexander Odesskii

  4. Institute of Mathematics, University of Bialystok, Bialystok, Poland

    Anatol Odzijewicz

  5. Mathematics Research Unit, FSTC, University of Luxembourg, Luxembourg-Kirchberg, Luxembourg

    Martin Schlichenmaier

  6. School of Mathematics, University of Manchester, Manchester, United Kingdom

    Theodore Voronov

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Iida, M., Tsukamoto, C., Yoshioka, A. (2013). Star Products and Certain Star Product Functions. In: Kielanowski, P., Ali, S., Odesskii, A., Odzijewicz, A., Schlichenmaier, M., Voronov, T. (eds) Geometric Methods in Physics. Trends in Mathematics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0645-9_4

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