6533b7ddfe1ef96bd1275100
RESEARCH PRODUCT
Principal Values of Cauchy Integrals, Rectifiable Measures and Sets
Pertti Mattilasubject
Pure mathematicsMathematics::Number TheoryResidue theoremPrincipal valueCauchy principal valueCauchy distributionCauchy's integral theoremMathematicsdescription
The extensive studies started by A. P. Calderon in the sixties and continued by many authors up today have revealed that the Cauchy integrals $$ {C_{\Gamma }}f(z) = \int_{\Gamma } {\frac{{f\left( \zeta \right)d\zeta }}{{\zeta - z}}} $$ behave very well on sufficiently regular, not necessarily smooth, curves F, see [CCFJR], [D] and [MT].
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1991-01-01 |