Bilender PAŞAOĞLU, Hüseyin TUNA

87110

Spectral expansion for the singular Dirac system with impulsive conditions

In this work, we study the one-dimensional Dirac system on a whole line with impulsive conditions. We construct a spectral function of this system. Using the spectral function, we establish a Parseval equality and spectral expansion formula for such a system.
Keywords:

Dirac operator, impulsive conditions, singular point, spectral function Parseval equality, spectral expansion,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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