A new integral formula for the inverse Fueter mapping theorem

作者：Colombo Fabrizio; Pena Dixan Pena^*; Sabadini Irene; Sommen Frank

来源：Journal of Mathematical Analysis and Applications, 2014, 417(1): 112-122.

DOI：10.1016/j.jmaa.2014.03.016

• Axial monogenic functions
• Fueter's theorem

In this paper we provide an alternative method to construct the Fueter primitive of an axial monogenic function of degree k, which is complementary to the one used in [4]. As a byproduct, we obtain an explicit description of the kernel of the Fueter mapping. We also apply our method to obtain the Fueter primitives of the Cauchy kernels with singularities on the unit sphere.

• 出版日期2014-9-1