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- Victor Kalvin
- SIAM J. Numerical Analysis
- 2011

- Victor Kalvin
- 2009

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)

- Victor Kalvin
- 2008

We construct a perfectly matched absorbing layer for stationary Schrödinger equation with analytic slowly decaying potential in a periodic structure. We prove the unique solvability of the problem with perfectly matched layer of finite length and show that solution to this problem approximates a solution to the original problem with an error that… (More)

- Victor Kalvin
- SIAM J. Math. Analysis
- 2012

- Victor Kalvin
- 2009

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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