Nino Khatiashvili

On Linear Conjugation Problems with a Doubly Periodic Jump Line (the Case of Open Arcs)

The linear conjugation problem for the class of exponentially doubly quasi-periodic functions is considered, when the jump line is doubly-periodic and consist of open arcs. Effective solutions are obtained by means of a Cauchy type integral with Weierstrass kernel.

Linear conjugation problems, elliptic functions, singular integrals.

MSC 2000: 30E25, 45E, 30E20, 30D30