Spectral expansion for the singular Dirac system with impulsive conditions

Pasaoglu Allahverdiev, Bilender; TUNA, HÜSEYİN

doi:10.3906/mat-1803-79

Spectral expansion for the singular Dirac system with impulsive conditions

Pasaoglu Allahverdiev B., TUNA H.

TURKISH JOURNAL OF MATHEMATICS, cilt.42, sa.5, ss.2527-2545, 2018 (SCI-Expanded, Scopus, TRDizin)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 42 Sayı: 5
Basım Tarihi: 2018
Doi Numarası: 10.3906/mat-1803-79
Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.2527-2545
Anahtar Kelimeler: Dirac operator, impulsive conditions, singular point, spectral function, Parseval equality, spectral expansion, STURM-LIOUVILLE PROBLEMS, EIGENVALUE PROBLEM, OPERATORS, SCHRODINGER, SCATTERING
Süleyman Demirel Üniversitesi Adresli: Evet

Özet

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.