The quaternionic Monge-Amp\`{e}re operator and plurisubharmonic functions on the Heisenberg group

28 Sep 2019 Wang Wei

Many fundamental results of pluripotential theory on the quaternionic space $\mathbb{H}^n$ are extended to the Heisenberg group. We introduce notions of a plurisubharmonic function, the quaternionic Monge-Amp\`{e}re operator, differential operators $d_0$ and $d_1$ and a closed positive current on the Heisenberg group... (read more)

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