Standard transmutation operators for the one dimensional Schrödinger operator with a locally integrable potential

DOI10.1016/j.jmaa.2017.03.084zbMath1404.34098arXiv1608.06573OpenAlexW2962782974MaRDI QIDQ2396854

Hugo M. Campos

Publication date: 26 May 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1608.06573

zbMATH Keywords

weak solutionSchrödinger operatorGoursat problemspectral parameter power seriestransformation operatortransmutation

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Schrödinger operator, Schrödinger equation (35J10)

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Transmutation operators method for Sturm-Liouville equations in impedance form. I: Construction and analytical properties

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