Document Type
Article
Publication Date
10-1-2021
Abstract
For the Schrödinger equation (Formula presented.) on a finite x-interval, there is defined an “asymmetry function” (Formula presented.), which is entire of order 1/2 and type 1 in λ. Our main result identifies the classes of square-integrable potentials (Formula presented.) that possess a common asymmetry function (Formula presented.). For any given (Formula presented.), there is one potential for each Dirichlet spectral sequence.
Publication Source (Journal or Book title)
Mathematika
First Page
788
Last Page
806
Recommended Citation
Brown, B., Schmidt, K., Shipman, S., & Wood, I. (2021). THE INVERSE PROBLEM FOR A SPECTRAL ASYMMETRY FUNCTION OF THE SCHRÖDINGER OPERATOR ON A FINITE INTERVAL. Mathematika, 67 (4), 788-806. https://doi.org/10.1112/mtk.12105
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