Abstract
The Poincaré-Bertrand formula concerning two repeated Cauchy's principal integrals on a smooth curve in the plane is generalized to identities of singular integrals on smooth hypersurfaces in higher dimensions.
Original language | English (US) |
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Pages (from-to) | 100-116 |
Number of pages | 17 |
Journal | Applied and Computational Harmonic Analysis |
Volume | 27 |
Issue number | 1 |
DOIs | |
State | Published - Jul 2009 |
All Science Journal Classification (ASJC) codes
- Applied Mathematics
Keywords
- Poincaré-Bertrand formula
- Riesz transforms
- Singular integrals