Generalized Taylor series in hermitian Clifford analysis

作者：Brackx F; De Schepper H^*; Lavicka R

来源：Journal of Mathematical Analysis and Applications, 2015, 421(2): 1531-1545.

DOI：10.1016/j.jmaa.2014.07.076

• Hermitian monogenic function
• Orthogonal basis
• Appell property
• Taylor series

An orthogonal Appell basis of homogeneous polynomials is constructed for the Bergman space of square-integrable hermitian monogenic functions in the unit ball of C-n, with values in a homogeneous subspace of spinor space. This construction then leads to a generalized Taylor series expansion for spherical monogenics.

• 出版日期2015-1-15