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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-ph2024
Massless field equations for spin 3/2 in dimension 6
Roman Lavicka, Vladimir Soucek, Wei Wang
Main topic of the paper is a study of properties of massless fields of spin 3/2 in its Euclidean version. A lot of information is available already for massless fields in dimension…
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 pro…