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.

Full Text

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},
}