The singular integrals on the closed piecewise smooth manifolds of octonions. (Chinese. English summary) Zbl 1449.32008
Summary: The solid-angle coefficient method is used to study the principal value on the closed piecewise smooth manifolds in octonions, and a corresponding Sokhotski-Plemel formula is obtained. These results are proved to be useful in the further study of the singular integral theory in octonions.
MSC:
| 32A55 | Singular integrals of functions in several complex variables |
| 17A42 | Other \(n\)-ary compositions \((n \ge 3)\) |
| 11R52 | Quaternion and other division algebras: arithmetic, zeta functions |
