We characterize the set of rectangular Weyl matrix functions corresponding to Dirac systems with locally square-integrable potentials on a semi-axis and demonstrate a new way to recover the locally square-integrable potential from the Weyl function. Important interconnections between our approach and accelerants of convolution operators are discussed as well.
CITATION STYLE
Sakhnovich, A. (2018). On accelerants and their analogs, and on the characterization of the rectangular weyl functions for dirac systems with locally square-integrable potentials on a semi-axis. In Operator Theory: Advances and Applications (Vol. 263, pp. 393–406). Springer International Publishing. https://doi.org/10.1007/978-3-319-68849-7_16
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