Quaternionic Möbius invariant laplacian and quaternionic Möbius harmonic functions on the unit ball

Ruiwen Wang

We construct quaternionic Möbius ($\mathcal{Q}\mathcal{M}$ briefly) transformations on the quaternionic unit ball, which are used to define $\mathcal{Q}\mathcal{M}$-invariant Laplacian operator $\tri…