### Abstract

We propose a relatively new notion of two-valued elements, which arise naturally in constructing star exponential functions of the quadratics in the Weyl algebra over the complex number. This notion enables us to describe group-like objects of the set of star exponential functions of quadratics in the Weyl algebra.

Original language | English |
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Title of host publication | Progress in Mathematics |

Publisher | Springer Basel |

Pages | 483-492 |

Number of pages | 10 |

DOIs | |

Publication status | Published - 2005 Jan 1 |

### Publication series

Name | Progress in Mathematics |
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Volume | 232 |

ISSN (Print) | 0743-1643 |

ISSN (Electronic) | 2296-505X |

### ASJC Scopus subject areas

- Analysis
- Algebra and Number Theory
- Geometry and Topology

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## Cite this

Maeda, Y., Miyazaki, N., Omori, H., & Yoshioka, A. (2005). Star exponential functions as two-valued elements. In

*Progress in Mathematics*(pp. 483-492). (Progress in Mathematics; Vol. 232). Springer Basel. https://doi.org/10.1007/0-8176-4419-9_16