Victor Kalvin

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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(More)
In this paper we develop the complex scaling method for the Euclidean Dirichlet Laplacian in a domain with asymptotically cylindrical end. We prove an analog of the Aguilar-Balslev-Combes theorem, and construct the resolvent meromorphic continuation across the essential spectrum to some Riemann surface. We show that the non-threshold eigenfunctions decay(More)
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