EN
TR
The Completeness of System of Eigenfunctions of 1D Dirac Operators
Öz
In this paper, nonself-adjoint 1D Dirac operators in Weyl’s limit-circle case are studied. Using Krein’s theorems, we investigate the completeness of the system of eigenvectors and associated vectors for these operators.
Anahtar Kelimeler
Kaynakça
- B. P. Allahverdiev, Spectral analysis of dissipative Dirac operators with general boundary conditions, J. Math. Anal. Appl., 283, (2003), 287-303.
- B. P. Allahverdiev, Extensions, dilations and functional models of Dirac operators in limit-circle case. Forum Math. 17 (2005), no. 4, 591-611.
- E. Bairamov, E. Ugurlu, The determinants of dissipative Sturm--Liouville operators with transmission conditions, Math. Comput. Model. 53 (2011) 805-813.
- E. Bairamov, E. Ugurlu, Krein's theorems for a Dissipative Boundary Value Transmission Problem, Complex Anal. Oper. Theory, DOI 10.1007/s11785-011-1180-z.
- A.G. Baskakov, A.V. Derbushev and A.O. Shcherbakov, The method of similar operators in the spectral analysis of non-self-adjoint Dirac operators with non-smooth potentials, Izv. Math. 75 (3) (2011), pp. 445-469.
- P. Djakov and B. Mityagin, Unconditional convergence of spectral decompositions of 1D Dirac operators with regular boundary conditions, Indiana Univ. Math. J., 61 (1) (2012), pp. 359-398.
- P. Djakov and B. Mityagin, Equiconvergence of spectral decompositions of 1D Dirac operators with regular boundary conditions, J. Approximation Theory 164 (7) (2012), pp. 879-927.
- P. Djakov and B. Mityagin, Criteria for existence of Riesz bases consisting of root functions of Hill and 1D Dirac operators, J. Funct. Anal. 263 (8) (2012), pp. 2300-2332.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
-
Yayımlanma Tarihi
8 Ocak 2016
Gönderilme Tarihi
6 Kasım 2015
Kabul Tarihi
-
Yayımlandığı Sayı
Yıl 2015 Cilt: 4 Sayı: 2
APA
Tuna, H., & Çoruh, M. (2016). The Completeness of System of Eigenfunctions of 1D Dirac Operators. Nevşehir Bilim ve Teknoloji Dergisi, 4(2), 35-43. https://doi.org/10.17100/nevbiltek.211039
AMA
1.Tuna H, Çoruh M. The Completeness of System of Eigenfunctions of 1D Dirac Operators. Nevşehir Bilim ve Teknoloji Dergisi. 2016;4(2):35-43. doi:10.17100/nevbiltek.211039
Chicago
Tuna, Hüseyin, ve Murat Çoruh. 2016. “The Completeness of System of Eigenfunctions of 1D Dirac Operators”. Nevşehir Bilim ve Teknoloji Dergisi 4 (2): 35-43. https://doi.org/10.17100/nevbiltek.211039.
EndNote
Tuna H, Çoruh M (01 Ocak 2016) The Completeness of System of Eigenfunctions of 1D Dirac Operators. Nevşehir Bilim ve Teknoloji Dergisi 4 2 35–43.
IEEE
[1]H. Tuna ve M. Çoruh, “The Completeness of System of Eigenfunctions of 1D Dirac Operators”, Nevşehir Bilim ve Teknoloji Dergisi, c. 4, sy 2, ss. 35–43, Oca. 2016, doi: 10.17100/nevbiltek.211039.
ISNAD
Tuna, Hüseyin - Çoruh, Murat. “The Completeness of System of Eigenfunctions of 1D Dirac Operators”. Nevşehir Bilim ve Teknoloji Dergisi 4/2 (01 Ocak 2016): 35-43. https://doi.org/10.17100/nevbiltek.211039.
JAMA
1.Tuna H, Çoruh M. The Completeness of System of Eigenfunctions of 1D Dirac Operators. Nevşehir Bilim ve Teknoloji Dergisi. 2016;4:35–43.
MLA
Tuna, Hüseyin, ve Murat Çoruh. “The Completeness of System of Eigenfunctions of 1D Dirac Operators”. Nevşehir Bilim ve Teknoloji Dergisi, c. 4, sy 2, Ocak 2016, ss. 35-43, doi:10.17100/nevbiltek.211039.
Vancouver
1.Hüseyin Tuna, Murat Çoruh. The Completeness of System of Eigenfunctions of 1D Dirac Operators. Nevşehir Bilim ve Teknoloji Dergisi. 01 Ocak 2016;4(2):35-43. doi:10.17100/nevbiltek.211039