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Inverse scattering problems for half-line Schrödinger operators and Banach algebras

Mykytyuk Y., Sushchyk N.

Opuscula Mathematica

2018

Vol. 38, no. 5

719--731

The inverse scattering problem for half-line Schrodinger operators with potentials from the Marchenko class is shown to be closely related to some Banach algebra of functions on the line. In particular, it is proved that the topological conditions in the Marchenko theorem can be replaced by the condition that the scattering function should belong to this Banach algebra.