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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 holo-morphic function with a given jump on a given curve.
Computational Methods and Function Theory – Springer Journals
Published: Apr 1, 2007
Keywords: Jump problem; non-rectifiable curve; metric dimension; 30E25
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