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arxiv: 1106.0812 · v1 · pith:YVKWANYVnew · submitted 2011-06-04 · 🧮 math.FA · math.CA

Operator identities corresponding to inverse problems

classification 🧮 math.FA math.CA
keywords operatorscorrespondingidentitiesinverseoperatorproblemsappearcase
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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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