Uniform, on the entire axis, convergence of the spectral expansion for Schrödinger operator with a potential-distribution

A uniform, on ℝ, estimate for the increment of the spectral function θ(λ; x, y ) at x = y is proved for the self-adjoint Schrödinger operator A defined on the entire axis ℝ by the differential operation (− d / dx ) 2 + q ( x ) with a potential-distribution q ( x ) that uniformly locally belongs to t...

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Veröffentlicht in:	Differential equations 2017-02, Vol.53 (2), p.180-191
1. Verfasser:	Kritskov, L. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Convergence Difference and Functional Equations Differential equations Estimates Fourier transforms Mathematical analysis Mathematics Mathematics and Statistics Operators Ordinary Differential Equations Partial Differential Equations Schrodinger equation Schroedinger equation Spectra Studies
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