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• W2509954531 abstract "We study a special class of operators T satisfying the transmutation relation (Tu)-qTu=Tu in the sense of distributions, where q is a locally integrable function, and u belongs to a suitable space of distributions depending on the smoothness properties of q. A method which allows one to construct a fundamental set of transmutation operators of this class in terms of a single particular transmutation operator is presented. Moreover, following [27], we show that a particular transmutation operator can be realized as a Volterra integral operator of the second kind. We study the boundedness and invertibility properties of the transmutation operators, and used it to obtain a representation for the general distributional solution of the equation u-qu=zu, in terms of the general solution of the same equation with z=0." @default.
• W2509954531 created "2016-09-16" @default.
• W2509954531 creator A5032465767 @default.
• W2509954531 date "2016-08-23" @default.
• W2509954531 modified "2023-09-27" @default.
• W2509954531 title "Standard transmutation operators for the one dimensional Schrodinger operator with a locally integrable potential" @default.
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• W2509954531 hasPublicationYear "2016" @default.
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