SPECTRAL ANALYSIS OF THE AIRY OPERATOR WITH A STEP-LIKEPOTENTIAL

The Airy operatorare real numbers, is considered.The scattering problem for the operator L is studied.A formula for expansion in terms of eigenfunctions of a continuous spectrum is obtained.

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Publication Details

Published
2025-01-01
DOI
https://doi.org/10.30546/209501.101.2025.2.1.010
Primary Topic
Numerical methods in inverse problems
Type
article
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article

SPECTRAL ANALYSIS OF THE AIRY OPERATOR WITH A STEP-LIKEPOTENTIAL

Numerical methods in inverse problems
article

SPECTRAL ANALYSIS OF THE AIRY OPERATOR WITH A STEP-LIKEPOTENTIAL

article en

Abstract

The Airy operatorare real numbers, is considered.The scattering problem for the operator L is studied.A formula for expansion in terms of eigenfunctions of a continuous spectrum is obtained.

Baku State University (AZ)
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Numerical methods in inverse problems
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SPECTRAL ANALYSIS OF THE AIRY OPERATOR WITH A STEP-LIKEPOTENTIAL · (2025) | TGRS Research Map | TGRS