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One-dimensional Schrödinger operators with δ'-interactions on a set of Lebesgue measure zero
Let Γ be a compact subset of R of Lebesgue measure zero.The notion 'Schrödinger operator defining a δ -interaction on Γ ' is introduced.The dimension of the range of the spectral projection χ (-∞,0) (A) of a Schrödinger operator A defining a δ -interaction on Γ is not less than …