SOME PROPERTIES OF AN INTEGRAL OPERATOR OVER A CLIFFORD ALGEBEA

Let R~n denote the real n-dimensional space. The Clifford algebra over the field of real numbershas a unit element eo and basic elements e_1,…,e_m, it is an associative algebra and its basic elements satisfythe relations;e_ie_j+ e_je_i=- 2eoδ_(ij),i≠0, j≠0.Thus . is a vector-space with orthonormal basese_0,e_1…,e_m,e_1e_2,…,e_m-1e_m,…,e_1…e_m,every basis-element of may be written in the from