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math.SP2001
Schrödinger operators with singular Gordon potentials
Rostyslav O. Hryniv, Yaroslav V. Mykytyuk
Singular Gordon potentials are defined to be distributions from the space W^{-1}_{2,unif}(R) that are sufficiently fast approximated by periodic ones. We prove that Schrödinger ope…
math.SP2001
Schrödinger Operators with Periodic Singular Potentials
Rostyslav O. Hryniv, Yaroslav V. Mykytyuk
We show that formal Schrödinger operators with singular potentials from the space W^{-1}_{2,unif}(R) can be naturally defined to give selfadjoint and bounded below operators, which…