Inequalities for the transformation operators and applications

dc.creatorRamm, A. G.
dc.date2003-01-31
dc.date.accessioned2026-07-07T04:54:49Z
dc.date.available2026-07-07T04:54:49Z
dc.descriptionInequalities for the transformation operator kernel $A(x,y)$ in terms of $F$-function are given, and vice versa. These inequalities are applied to inverse scattering on half-line. Characterization of the scattering data corresponding to the usual scattering class $L_{1,1}$ of the potentials, to the class of compactly supported potentials, and to the class of square integrable potentials is given. Invertibility of each of the steps in the inversion procedure is proved.
dc.identifierhttps://arxiv.org/abs/math/0301383
dc.identifierhttp://arxiv.org/abs/math/0301383
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66409
dc.subjectClassical Analysis and ODEs
dc.titleInequalities for the transformation operators and applications
dc.typetext

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