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Abstract: In this paper we study weighted Hardy-Sobolev spaces of vector valuedfunctions analytic on double-napped cones of the complex plane. We introducethese spaces as a tool for complex scaling of linear ordinary differentialequations with dilation analytic unbounded operator coefficients. As exampleswe consider boundary value problems in cylindrical domains and domains withquasicylindrical ends.



Author: Victor Kalvin

Source: https://arxiv.org/







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