A Number Of Issues In The Analysis Of Eight Yuan

The Cayley-Graves algebra O is a non-commutative and non-associative divi-sion algebra. This article solved some problems in the Octonion analysis, and thetheory of Octonion analysis has been more developed.We have six chapters all together.Chapter 1: We talk about the background and the main result.Chapter 2: Introduce the Clifford algebra and Octonion.Chapter 3: We obtain an united formula to construct all kinds of analyticfunctions.Chapter 4: We give The Morera's Theorem which is the converse of theCauchy's Theorem, Painleve Theorem and its Corollary in the Octonion.Chapter 5: We make the Laurent series prefect, and give the residue theoryof the O-analytic functions.Chapter 6: The adjoint O-analysis function is given.