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dc.contributor.authorFord, Richard ( )
dc.date.accessioned2019-12-18T15:10:35Z
dc.date.available2019-12-18T15:10:35Z
dc.date.issued2000-01-21
dc.identifier.citationFord, R. (2000). Riemann-Lebesgue properties of Green's functions with applications to inverse scattering. Electronic Journal of Differential Equations, 2000(7), pp. 1-19.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/9102
dc.description.abstractSaito's method has been applied successfully for measuring potentials with compact support in three dimensions. Also potentials have been reconstructed in the sense of distributions using a weak version of the method. Saito's method does not depend on the decay of the boundary value of the resolvent operator, but instead on certain Reimann-Lebesgue type properties of convolutions of the kernel of the unperturbed resolvent. In this paper these properties are extended from three to higher dimensions. We also provide an important application to inverse scattering by extending reconstruction results to measure potentials with unbounded support.en_US
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherSouthwest Texas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2000, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectInverse scatteringen_US
dc.subjectGreen's functionsen_US
dc.subjectSchrdinger equationen_US
dc.subjectBorn approximationen_US
dc.subjectMeasure potentialsen_US
dc.titleRiemann-Lebesgue Properties of Green's Functions with Applications to Inverse Scatteringen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


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