• Citer

Non-formal star-exponential on contracted one-sheeted hyperboloids

par Bieliavsky, Pierre ;Marcillaud de Goursac, Axel ;Maeda, Yoshiaki;Spinnler, Florian
Référence Advances in mathematics, 291, page (362-402)
Publication Publié, 2016-03

Article révisé par les pairs

• Accès en ligne
• Détails
• Contenu
• Statistiques

Résumé :

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.