On Boundary Behavior of the Cauchy Type Integrals with Values in a Universal Clifford Algebra

Authors :: Na Xu
Jinyuan Du
Source :: Advances in Applied Clifford Algebras. 21:49-87
Publication Year :: 2010
Publisher :: Springer Science and Business Media LLC, 2010.
Abstract: In this paper, we discuss boundary behavior for the Cauchy type integrals with values in a universal Clifford algebra for certain distinguished boundary and obtain some Sochocki–Plemelj formulae and Privalov–Muskhelishvili theorems.

Subjects :: Filtered algebra
Pure mathematics
Classification of Clifford algebras
Applied Mathematics
Algebra of physical space
Mathematical analysis
Clifford algebra
Universal geometric algebra
Cauchy boundary condition
Clifford bundle
Clifford analysis
Mathematics

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