Asymptotic behavior of the spectral function of an operator family
Let \(\alpha \) be a real number, \(\cot \alpha >0\), and let \(Q\in C(0, +\infty)\). The behaviour is investigated as \(\varepsilon \) tends to \(0\) of the derivative of the spectral function on \((-\infty ,0)\) of the operator defined by the differential expression \(-y''(x) + \varepsilon Q(x)y(x)\) with the boundary condition \(y(0)\cos \alpha + y'(0)\sin \alpha = 0\).
scientific article; zbMATH DE number 1238057