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Transmutations, L-bases and complete families of solutions of the stationary Schrödinger equation in the plane
ArticleAbstract: An L-basis associated to a linear second-order ordinary differential operator L is an infinite sequePalabras claves:Bicomplex number, pseudoanalytic function, Runge approximation theorem, Runge property, Stationary Schrödinger equation, Sturm-Liouville operator, Transformation operator, Transmutation, Vekua equationAutores:Hugo M. Campos, Kravchenko V.V., Torba S.M.Fuentes:googlescopusStandard transmutation operators for the one dimensional Schrödinger operator with a locally integrable potential
ArticleAbstract: We study a special class of operators T satisfying the transmutation relation ([formula presented]−qPalabras claves:Goursat problem, Schrödinger operator, spectral parameter power series, Transformation operator, Transmutation, weak solutionAutores:Hugo M. CamposFuentes:googlescopus