A Paley-Wiener theorem for the Bessel-Laplace transform (I): The case $SU(n,n)/GL(n,C)_+$ - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2006

A Paley-Wiener theorem for the Bessel-Laplace transform (I): The case $SU(n,n)/GL(n,C)_+$

Salem Ben Said
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Abstract

Let $\q$ be the tangent space to the noncompact causal symmetric space $SU(n,n)/SL(n,\C)\times \R^*_+$ at the origin. In this paper we give an explicit formula for the Bessel functions on $\q,$ and we then use it to prove a Paley-Wiener theorem for the Bessel-Laplace transform on $\q.$ Further, an Abel transform for $\q$ is defined and inverted.
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Dates and versions

hal-00095335 , version 1 (15-09-2006)

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  • HAL Id : hal-00095335 , version 1

Cite

Salem Ben Said. A Paley-Wiener theorem for the Bessel-Laplace transform (I): The case $SU(n,n)/GL(n,C)_+$. 2006. ⟨hal-00095335⟩
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