The Heisenberg group action on the Siegel domain and the structure of Bergman spaces

Julio A. Barrera-Reyes, Raul Quiroga-Barranco

We study the biholomorphic action of the Heisenberg group ${\mathbb{H}}_n$ on the Siegel domain $D_{n+1}$ ($n\ge 1$). Such ${\mathbb{H}}_n$-action allows us to obtain decompositions…