Classes of uniform convergence of spectral expansions for the one-dimensional Schrödinger operator with a distribution potential

For the self-adjoint Schrödinger operator ℒ defined on ℝ by the differential operation −( d / dx ) 2 + q ( x ) with a distribution potential q ( x ) uniformly locally belonging to the space W 2 −1 , we describe classes of functions whose spectral expansions corresponding to the operator ℒ absolutely...

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Veröffentlicht in:	Differential equations 2017-05, Vol.53 (5), p.583-594
1. Verfasser:	Kritskov, L. V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Convergence Difference and Functional Equations Differential equations Fourier analysis Fourier transforms Mathematical analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Schrodinger equation
Online-Zugang:	Volltext
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