Embedding Factors for Branching in Hermitian Clifford Analysis

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

来源：Complex Analysis and Operator Theory, 2015, 9(2): 355-378.

DOI：10.1007/s11785-014-0365-3

• Clifford analysis
• Hermitian monogenic
• Step 2 branching
• Embedding factor

A step 2 branching decomposition of spaces of homogeneous Hermitian monogenic polynomials in is established with explicit embedding factors in terms of the generalized Jacobi polynomials, which allows for an inductive construction of an orthogonal basis for those spaces. The embedding factors and the orthogonal bases are fully worked out in the complex dimension 2 case, with special interest for the Appell property.

• 出版日期2015-2