The Completeness of System of Eigenfunctions of 1D Dirac Operators

Cilt: 4 Sayı: 2 8 Ocak 2016
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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

  1. B. P. Allahverdiev, Spectral analysis of dissipative Dirac operators with general boundary conditions, J. Math. Anal. Appl., 283, (2003), 287-303.
  2. B. P. Allahverdiev, Extensions, dilations and functional models of Dirac operators in limit-circle case. Forum Math. 17 (2005), no. 4, 591-611.
  3. E. Bairamov, E. Ugurlu, The determinants of dissipative Sturm--Liouville operators with transmission conditions, Math. Comput. Model. 53 (2011) 805-813.
  4. 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.
  5. 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.
  6. 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.
  7. 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.
  8. 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

-

Yazarlar

Murat Çoruh Bu kişi benim

Yayımlanma Tarihi

8 Ocak 2016

Gönderilme Tarihi

6 Kasım 2015

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2015 Cilt: 4 Sayı: 2

Kaynak Göster

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

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