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JOURNALS // Lobachevskii Journal of Mathematics // Archive

Lobachevskii J. Math., 2000 Volume 7, Pages 15–29 (Mi ljm136)

This article is cited in 2 papers

The cauchy integral along $\Phi$-rectifiable curves

B. A. Kats

Kazan State Academy of Architecture and Construction

Abstract: The paper treats existence and boundary properties of the Cauchy integral over certain classes of non-rectifiable curves. These classes contain, in particular, known fractal curves: von Koch snowflakes, Weierstrass curves, lacunary wavelet trajectories and so on.

Submitted by: A. M. Elizarov
Received: 05.07.2000

Language: English



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