Clifford analysis, a branch of mathematics that has been developed since
about 1970, has important theoretical value and several applications. In
this book, the authors introduce many properties of regular functions
and generalized regular functions in real Clifford analysis, as well as
harmonic functions in complex Clifford analysis. It covers important
developments in handling the incommutativity of multiplication in
Clifford algebra, the definitions and computations of high-order
singular integrals, boundary value problems, and so on. In addition, the
book considers harmonic analysis and boundary value problems in four
kinds of characteristic fields proposed by Luogeng Hua for complex
analysis of several variables. The great majority of the contents
originate in the authors' investigations, and this new monograph will be
interesting for researchers studying the theory of functions.