Operator identities corresponding to inverse problems

Details Operator identities corresponding to inverse problems Operator identities corresponding to inverse problems

2011-06-04

arxiv.org/abs/1106.0812v1

Mathematics

Functional Analysis

Scientific paper

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.

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