Fock model and Segal-Bargmann transform for minimal representations of Hermitian Lie groups

Joachim Hilgert, Toshiyuki Kobayashi, Jan Möllers +1

For any Hermitian Lie group G of tube type we construct a Fock model of its minimal representation. The Fock space is defined on the minimal nilpotent K_C-orbit X in p_C and the L^…