Displaying 101 – 120 of 201

Showing per page

Stratonovich-Weyl correspondence for discrete series representations

Benjamin Cahen (2011)

Archivum Mathematicum

Let M = G / K be a Hermitian symmetric space of the noncompact type and let π be a discrete series representation of G holomorphically induced from a unitary character of K . Following an idea of Figueroa, Gracia-Bondìa and Vàrilly, we construct a Stratonovich-Weyl correspondence for the triple ( G , π , M ) by a suitable modification of the Berezin calculus on M . We extend the corresponding Berezin transform to a class of functions on M which contains the Berezin symbol of d π ( X ) for X in the Lie algebra 𝔤 of G . This allows...

Currently displaying 101 – 120 of 201