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- aggregation classification "A2".
- aggregation creator B163343.
- aggregation creator B163344.
- aggregation creator person.
- aggregation creator person.
- aggregation date "2005".
- aggregation format "application/pdf".
- aggregation hasFormat 348056.bibtex.
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- aggregation isPartOf urn:issn:1617-9447.
- aggregation language "eng".
- aggregation rights "I have transferred the copyright for this publication to the publisher".
- aggregation subject "Mathematics and Statistics".
- aggregation title "Cauchy integral decomposition of multi-vector valued functions on hypersurfaces".
- aggregation abstract "Let $\Omega$ be a bounded open and connected subset of $\mathbb{R}^m$ which has a $C_\infty$-boundary $\Sigma$ and let $F_k\in C_\infty(\Sigma)$ be a $k$-multi-vector valued function on~$\Sigma$. Under which conditions can $F_k$ be decomposed as $F_k=F_k^++F_k^-$ where $F_k^\pm$ are extendable to harmonic $k$-multi-vector fields in $\Omega_\pm$ with $\Omega_+=\Omega$ and ${\Omega_-=\mathbb{R}^m\setminus\overline\Omega}$? This question is answered by proving a set of equivalent assertions, including a conservation law on $F_k$ and conditions on the Cauchy transform $\mathcal{C}_\Sigma F_k$ and on the Hilbert transform $H_\Sigma F_k$ of $F_k$.".
- aggregation authorList BK404598.
- aggregation endPage "134".
- aggregation issue "1".
- aggregation startPage "111".
- aggregation volume "5".
- aggregation aggregates 770738.
- aggregation isDescribedBy 348056.
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