Exact estimate for the spectral function of the singular Schrödinger operator
type: Item
instance of: scholarly article
title: Exact estimate for the spectral function of the singular Schrödinger operator
zbMATH Open document ID: 0633.35056
DOI: 10.1007/BF01848084
published in: Periodica Mathematica Hungarica
publication date: 1987-01-01T00:00:00Z
review text: The author studies the spectral function of the singular Schrödinger operators with a countably set of complex eigenvalues, defined on bounded three dimensional domains. In the main result of the paper it is proved that the spectral function can be expressed as a sum of two functions: one of them is explicitly defined and for the another it is given an estimate. From this it is deduced a sufficient condition of summability for the eigenfunction expansions.
Mathematics Subject Classification ID: 35P05
Mathematics Subject Classification ID: 35J10
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 40A30
zbMATH DE Number: 4030085
zbMATH Keywords: spectral function
zbMATH Keywords: singular Schrödinger operators
zbMATH Keywords: summability for the eigenfunction expansions
author: I. Joó
MaRDI profile type: Publication
cites work: The spectral function of an elliptic operator
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cites work: Zeroes of Schrödinger eigenfunctions at potential singularities
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description: scientific article; zbMATH DE number 4030085