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

### Abstract

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.

Key words: Dirac operators, general boundary conditions, Krein’s accelerant method.

### Article Information

 Title On inverse spectral problems for self-adjoint Dirac operators with general boundary conditions Source Methods Funct. Anal. Topology, Vol. 19 (2013), no. 4, 346-363 MathSciNet MR3156300 zbMATH 1313.34047 Milestones Received 02/04/2013; Revised 06/08/2013 Copyright The Author(s) 2013 (CC BY-SA)

### Authors Information

D. V. Puyda
Ivan Franko National University of Lviv, 1 Universytets'ka, Lviv, 79000, Ukraine

### Citation Example

D. V. Puyda, On inverse spectral problems for self-adjoint Dirac operators with general boundary conditions, Methods Funct. Anal. Topology 19 (2013), no. 4, 346-363.

### BibTex

@article {MFAT691,
AUTHOR = {Puyda, D. V.},
TITLE = {On inverse spectral problems for self-adjoint Dirac operators with general boundary conditions},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {19},
YEAR = {2013},
NUMBER = {4},
PAGES = {346-363},
ISSN = {1029-3531},
MRNUMBER = {MR3156300},
ZBLNUMBER = {1313.34047},
URL = {http://mfat.imath.kiev.ua/article/?id=691},
}