hrcak mascot   Srce   HID

Izvorni znanstveni članak
https://doi.org/10.21857/mnlqgc00ny

Resolvent operator of singular Dirac system with transmission conditions

Bilender P. Allahverdiev   ORCID icon orcid.org/0000-0002-9315-4652 ; Department of Mathematics, Süleyman Demirel University, 32260 Isparta, Turkey
Hüseyin Tuna   ORCID icon orcid.org/0000-0001-7240-8687 ; Department of Mathematics, Mehmet Akif Ersoy University, 15030 Burdur, Turkey

Puni tekst: engleski, pdf (206 KB) str. 85-105 preuzimanja: 398* citiraj
APA 6th Edition
Allahverdiev, B.P. i Tuna, H. (2019). Resolvent operator of singular Dirac system with transmission conditions. Rad Hrvatske akademije znanosti i umjetnosti, (538=23), 85-105. https://doi.org/10.21857/mnlqgc00ny
MLA 8th Edition
Allahverdiev, Bilender P. i Hüseyin Tuna. "Resolvent operator of singular Dirac system with transmission conditions." Rad Hrvatske akademije znanosti i umjetnosti, vol. , br. 538=23, 2019, str. 85-105. https://doi.org/10.21857/mnlqgc00ny. Citirano 25.09.2021.
Chicago 17th Edition
Allahverdiev, Bilender P. i Hüseyin Tuna. "Resolvent operator of singular Dirac system with transmission conditions." Rad Hrvatske akademije znanosti i umjetnosti , br. 538=23 (2019): 85-105. https://doi.org/10.21857/mnlqgc00ny
Harvard
Allahverdiev, B.P., i Tuna, H. (2019). 'Resolvent operator of singular Dirac system with transmission conditions', Rad Hrvatske akademije znanosti i umjetnosti, (538=23), str. 85-105. https://doi.org/10.21857/mnlqgc00ny
Vancouver
Allahverdiev BP, Tuna H. Resolvent operator of singular Dirac system with transmission conditions. Rad Hrvatske akademije znanosti i umjetnosti [Internet]. 2019 [pristupljeno 25.09.2021.];(538=23):85-105. https://doi.org/10.21857/mnlqgc00ny
IEEE
B.P. Allahverdiev i H. Tuna, "Resolvent operator of singular Dirac system with transmission conditions", Rad Hrvatske akademije znanosti i umjetnosti, vol., br. 538=23, str. 85-105, 2019. [Online]. https://doi.org/10.21857/mnlqgc00ny

Sažetak
This paper is concerned with the resolvent operator of one dimensional singular Dirac operator with transmission conditions. We study the Titchmarsh-Weyl function of this problem. Later, we construct a Green function and a spectral function for regular and singular problems. With the help of these functions, we obtain an expansion into a Fourier series of resolvent in regular case. Furthermore, we give integral representations in terms of the spectral function for the resolvent of this operator with transmission conditions in singular case. Finally, we obtain a formula for the Titchmarsh-Weyl function in terms of the spectral function of the singular Dirac system.

Ključne riječi
Dirac operator; transmission conditions; singular point; spectral function; Titchmarsh-Weyl function; resolvent operator.

Hrčak ID: 225231

URI
https://hrcak.srce.hr/225231

Posjeta: 584 *