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math.CV2024
The Hartogs-Bochner extension for monogenic functions of several vector variables and the Dirac complex
Yun Shi, Wei Wang
Holomorphic functions in several complex variables are generalized to regular functions in several quaternionic variables, and further to monogenic functions of several vector vari…
math.FA2024
Flag-like singular integrals and associated Hardy spaces on a kind of nilpotent Lie groups of step two
Wei Wang, Qingyan Wu
The Cauchy-Szegö singular integral is a fundamental tool in the study of holomorphic Hardy space. But for a kind of Siegel domains, the Cauchy-Szegö kernels are neither produ…
math.CV2024
On monogenic functions and the Dirac complex of two vector variables
Yun Shi, Wei Wang, Qingyan Wu
A monogenic function of two vector variables is a function annihilated by the operator consisting of two Dirac operators, which are associated to two variables, respectively. We gi…