Article ID Journal Published Year Pages File Type
4620361 Journal of Mathematical Analysis and Applications 2009 5 Pages PDF
Abstract

Let Γ be a closed non-rectifiable Jordan curve on the complex plane C. We consider the so-called jump problem, i.e. the boundary value problem for determination of a holomorphic in function with a given jump on Γ. The main result is a condition of solvability of the problem in terms of a new metric dimension of the curve.

Related Topics
Physical Sciences and Engineering Mathematics Analysis