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math.CV2026
On octonionic Hessian complex and Hartogs--Bochner extension of octonionic pluriharmonic functions in two octonionic variables
Yun Shi, Wei Wang
In this paper, we construct the octonionic Hessian complex, which is the octonionic version of the -complex. By proving its ellipticity, we can solve the non…
math.CV2018
The tangential -Cauchy-Fueter complexes and Hartogs' phenomenon over the right quaternionic Heisenberg group
Yun Shi, Wei Wang
We construct the tangential -Cauchy-Fueter complexes on the right quaternionic Heisenberg group, as the quaternionic counterpart of -complex on the Heisen…