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Resonances for the Dirac Operator on the Half-Line

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Abstract

We consider the inverse problem for a massless Dirac operator on the half-line such that the support of its potential has fixed upper boundary and solve it in terms of a Jost function and a scattering matrix. We prove that the potential of such an operator is uniquely determined by its resonances.

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Funding

This work was supported by the RFBR grant no. 19-01-00094.

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Correspondence to E. L. Korotyaev.

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Translated from Funktsional'nyi Analiz i ego Prilozheniya, 2021, Vol. 55, pp. 91-94 https://doi.org/10.4213/faa3852.

Translated by E. L. Korotyaev and D. S. Mokeev

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Korotyaev, E.L., Mokeev, D.S. Resonances for the Dirac Operator on the Half-Line. Funct Anal Its Appl 55, 326–329 (2021). https://doi.org/10.1134/S0016266321040079

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  • DOI: https://doi.org/10.1134/S0016266321040079

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