Sampling of Discontinuous Dirac Systems


THARWAT M. M. , Yildirim A. , BHRAWY A. H.

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, cilt.34, ss.323-348, 2013 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 34 Konu: 3
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1080/01630563.2012.693565
  • Dergi Adı: NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION
  • Sayfa Sayıları: ss.323-348

Özet

In this article, we study discontinuous regular Dirac systems with transmission conditions at the point of discontinuity. We study briey the spectral analysis of problem as Levitan and Sargsjan [23]. In the special case, when our problem is continuous, the obtained results coincide with the corresponding results in Abd-Alla and Annaby [1] and Zayed and Garcia [30]. We derive sampling representations for transforms whose kernels are either solutions or Green's functions.