Journal
MATHEMATISCHE NACHRICHTEN
Volume 295, Issue 4, Pages 762-784Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/mana.202000033
Keywords
discrete Dirac equation; dispersive decay; Gelfand-Levitan-Marchenko equations; Jost solutions; scattering matrix; Wiener algebra
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Funding
- Austrian Science Fund (FWF) [P 34177]
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We derive dispersion estimates for solutions of a one-dimensional discrete Dirac equations with a potential. In particular, we improve our previous result, weakening the conditions on the potential. Moreover, we provide new results concerning scattering for the corresponding perturbed Dirac operators, showing that the reflection and transmission coefficients belong to the Wiener algebra.
We derive dispersion estimates for solutions of a one-dimensional discrete Dirac equations with a potential. In particular, we improve our previous result, weakening the conditions on the potential. To this end we also provide new results concerning scattering for the corresponding perturbed Dirac operators which are of independent interest. Most notably, we show that the reflection and transmission coefficients belong to the Wiener algebra.
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