Computational approach of initial value problems in clifford analysis using associated spaces

In the present chapter we continue the previous one related with the initial value problem in Clifford analysis using the method of associated spaces over a Banach space; but in this chapter we present the advantage of using a matrix representation for the basis of a Clifford algebra, when you have a high order algebra in particular in R_0,3. We present the result of the product rule for the derivatives of two Clifford valued function and the calculations in R_0,3, finally we present the calculation of the conditions over the coefficients in order to construct the associated space.