## Abstract

Let q be the tangent space to the noncompact causal symmetric space SU(n,n)/SL(n,ℂ) x ℝ_{+}* at the origin. In this paper we give an explicit formula for the Bessel functions on q. We use this result to prove a Paley-Wiener theorem for the Bessel Laplace transform on q. Further, a flat analogue of the Abel transform is defined and inverted.

Original language | English |
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Pages (from-to) | 253-271 |

Number of pages | 19 |

Journal | Journal of Lie Theory |

Volume | 18 |

Issue number | 2 |

Publication status | Published - 2008 |

Externally published | Yes |

## Keywords

- Abel transform
- Multivariable bessel function
- Non-compactly causal symmetric spaces
- Paley-Wiener theorem

## ASJC Scopus subject areas

- Algebra and Number Theory

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