The Riemann boundary value problem on non-rectifiable curve and the Cauchy transform

B. A. Kats

Kazan State University of Architecture and Engineering

Abstract: In the present paper we obtain a representation for solutions of the Riemann boundary value problem on non-rectifiable closed Jordan curves in terms of the Cauchy transforms of certain distributions.

Keywords: non-rectifiable curve, Riemann boundary value problem, Cauchy transform.

UDC: 517.544

Received: 02.12.2009

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