Computational Methods and Function Theory 7 (2007), No. 1, 77--89
Copyright Heldermann Verlag 2007
Boris A. Kats
architec@mi.ru , Chair of Mathematics, Kazan State Architecture and Building University, Zelenaya Street, 1, Kazan, Tatarstan 420043, Russia.
We introduce a new metric characteristic of dimensional type for non-rectifiable curves in the complex plane and use it to solve the so-called jump problem, i.e. the boundary value problem for determination of a holomorphic function with a given jump on a given curve.
Keywords: Jump problem, non-rectifiable curve, metric dimension.
MSC 2000: 30E25.
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