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arXiv · 0901.1615

Weighted Hardy-Sobolev spaces and complex scaling of differential equations with operator coefficients

Victor Kalvin
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Abstract

In this paper we study weighted Hardy-Sobolev spaces of vector valued functions analytic on double-napped cones of the complex plane. We introduce these spaces as a tool for complex scaling of linear ordinary differential equations with dilation analytic unbounded operator coefficients. As examples we consider boundary value problems in cylindrical domains and domains with quasicylindrical ends.

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Victor Kalvin. 2009-01-12. Weighted Hardy-Sobolev spaces and complex scaling of differential equations with operator coefficients. https://arxiv.org/abs/0901.1615

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