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Convergent Star Product Algebras on 'ax + b'

par Bieliavsky, Pierre ;Maeda, Yoshiaki
Référence letters in mathematical physics, 62, 3, page (233-243)
Publication Publié, 2002-12

Article révisé par les pairs

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Résumé :

We define nontempered (exponential growth) function spaces on the Lie group ax + b which are stable under some left-invariant (convergent) star product. The techniques used to achieved the latter come from symmetric spaces geometry and star representation theory.