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Paper detail

Operator identities corresponding to inverse problems

The structured operators and corresponding operator identities, which appear in inverse problems for the self-adjoint and skew-self-adjoint Dirac systems with rectangular potentials, are studied in detail. In particular, it is shown that operators with the close to displacement kernels are included in this class. A special case of positive and factorizable operators is dealt with separately.

preprint2011arXivOpen access
B. FritzscheB. KirsteinI. Ya. RoitbergA. L. Sakhnovich
math.FAmath.CA
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B. FritzscheB. KirsteinI. Ya. RoitbergA. L. Sakhnovich

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