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has been cited by the following article:
TITLE: Hilbert Boundary Value Problem with an Unknown Function on Arbitrary Infinite Straight Line
AUTHORS: Lixia Cao
KEYWORDS: Arbitrary Infinite Straight Line; Symmetric Extension; Hilbert Boundary Value Problem; Unknown
JOURNAL NAME: Advances in Pure Mathematics, Vol.3 No.2, March 5, 2013
ABSTRACT: We consider a Hilbert boundary value problem with an unknown parametric function on arbitrary infinite straight line passing through the origin. We propose to transform the Hilbert boundary value problem to Riemann boundary value problem, and address it by defining symmetric extension for holomorphic functions about an arbitrary straight line passing through the origin. Finally, we develop the general solution and the solvable conditions for the Hilbert boundary value problem.