Non-formal star-exponential on contracted one-sheeted hyperboloids
Non-formal star-exponential on contracted one-sheeted hyperboloids
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DOI：
10.1016/j.aim.2015.12.026
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Florian
中科院分区：
文献类型：
--
作者：
Bieliavsky;Pierre; de Goursac;Axel; Maeda;Yoshiaki; Spinnler;Florian
In this paper, we exhibit the non-formal star-exponential of the Lie group SL (2, R) realized geometrically on the curvature contraction of its one-sheeted hyperboloid orbits endowed with its natural non-formal star-product. It is done by a direct resolution of the defining equation of the star-exponential and produces an expression with Bessel functions. This yields a continuous group homomorphism from SL (2, R) into the von Neumann algebra of multipliers of the Hilbert algebra associated to this natural star-product. As an application, we prove a new identity on Bessel functions.
