Scattering theory for Schrödinger operators on steplike, almost periodic infinite-gap backgrounds

Mathematics – Spectral Theory

Scientific paper

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arXiv admin note: text overlap with arXiv:0707.4632

Scientific paper

We develop direct scattering theory for one-dimensional Schr\"odinger
operators with steplike potentials, which are asymptotically close to different
Bohr almost periodic infinite-gap potentials on different half-axes.

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