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A property of the β-Cauchy-type integral with continuous density

✍ Scribed by R. Abreu Blaya; J. Bory Reyes

Publisher
Springer
Year
2008
Tongue
English
Weight
98 KB
Volume
60
Category
Article
ISSN
0041-5995

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The Clifford–Cauchy transform with a con
The Clifford–Cauchy transform with a continuous density: N. Davydov's theorem
✍ Ricardo Abreu-Blaya; Juan Bory-Reyes; Oleg F. Gerus; Michael Shapiro 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 128 KB

## Abstract N. A. Davydov was among the first mathematicians who investigated the question of the continuity of the complex Cauchy transform along a non‐smooth curve. In particular he proved that the Cauchy transform over an arbitrary closed, rectifiable Jordan curve can be continuously extended up