A KIND OF BOUNDARY VALUE PROBLEMS FOR THE REGULAR FUNCTIONS WITH VALUES IN A REAL CLIFFORD ALGEBRA

Let A. （R） be a real Clifford algebra and Gan open connected set in Rn . By [1], the function with val-ues in An （R） may be written aswhere B ={r1,r2,…,rh} {1,2,…,n}represent that from the sum for’lst and 2nd indi-sates respectively, and we have the following result.Theorem A Function f （x） with values in A. （R） is regular in G if and only ifLet G be the unit hyperball and L the unit hypersphere. Cutting G by the plane: x3= a3, …,xn = an（n3） , we obtain a section domain Ga in the x1x2 plane. Let La be the boundary of Ga, and its center is writ-ten as 0 = （0,0,α3,...,αn） .