Abstract
When kerncl density is in the class of continuous function to possessing sufficient derivative of high order (and needn' t in the class of corresponding Holder function), in this paper it is given the continuity and the differential formulas for singular integrals of high non-integral order. The above results themselves and in order to prove in future the formulas to changing order of integration for singular integrals of high non-integral order(another paper) will have important significance. The method to prove in this paper is more different from the method in the corresponding cass of singular integrals of high integral order.
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