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Boundary Data Maps for Schrödinger Operators on a Compact Interval

S. Clark;  F. Gesztesy;  M. Mitrea — 2010

Mathematical Modelling of Natural Phenomena

We provide a systematic study of boundary data maps, that is, 2 × 2 matrix-valued Dirichlet-to-Neumann and more generally, Robin-to-Robin maps, associated with one-dimensional Schrödinger operators on a compact interval [0, R] with separated boundary conditions at 0 and R. Most of our results are formulated in the non-self-adjoint context. Our principal results include explicit representations...

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