D. V. Puyda

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Articles: 2

On the accelerants of non-self-adjoint Dirac operators

Ya. V. Mykytyuk, D. V. Puyda

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 20 (2014), no. 4, 349-364

We prove that there is a homeomorphism between the space of accelerants and the space of potentials of non-self-adjoint Dirac operators on a finite interval.

On inverse spectral problems for self-adjoint Dirac operators with general boundary conditions

D. V. Puyda

↓ Abstract   |   Article (.pdf)

Methods Funct. Anal. Topology 19 (2013), no. 4, 346-363

We consider the self-adjoint Dirac operators on a finite interval with summable matrix-valued potentials and general boundary conditions. For such operators, we study the inverse problem of reconstructing the potential and the boundary conditions of the operator from its eigenvalues and suitably defined norming matrices.


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