Schrödinger operators with singular Gordon potentials
Rostyslav O. Hryniv, Yaroslav V. Mykytyuk
Abstract
Singular Gordon potentials are defined to be distributions from the space W-12,unif(R) that are sufficiently fast approximated by periodic ones. We prove that Schrödinger operators with singular Gordon potentials have no point spectrum and show that a rich class of quasiperiodic distributions consists of singular Gordon potentials.
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