Geodesic
On completness of eigenvectors for Dirac two parameter boundary problem
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2002), pp. 9-14.

Voir la notice de l'article provenant de la source Math-Net.Ru

The Parseval identity is proved for elements of energetic space $L^2_{\Delta_0} (I) $, born by twoparametric Dirac system.
Keywords: Parseval identity, energetic space. 
@article{UZERU_2002_1_a1,
     author = {G. H. Sahakyan},
     title = {On completness of eigenvectors for {Dirac} two parameter boundary problem},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {9--14},
     publisher = {mathdoc},
     number = {1},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2002_1_a1/}
}
TY  - JOUR
AU  - G. H. Sahakyan
TI  - On completness of eigenvectors for Dirac two parameter boundary problem
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2002
SP  - 9
EP  - 14
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2002_1_a1/
LA  - ru
ID  - UZERU_2002_1_a1
ER  - 
%0 Journal Article
%A G. H. Sahakyan
%T On completness of eigenvectors for Dirac two parameter boundary problem
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2002
%P 9-14
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2002_1_a1/
%G ru
%F UZERU_2002_1_a1
G. H. Sahakyan. On completness of eigenvectors for Dirac two parameter boundary problem. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2002), pp. 9-14. http://geodesic.mathdoc.fr/item/UZERU_2002_1_a1/

[1] F. V. Atkinson, Multiparameter eigenvalue problems, v. 1, Acad. Press, New York, 1972 | MR | Zbl

[2] P. J. Browne, J. Differential Equations, 38 (1972), 553–568 | MR | Zbl

[3] P. J. Browne, J. Math. Anal. Appl., 60 (1977), 259–273 | DOI | MR | Zbl

[4] P. J. Browne, “Multiparameter problems: The last decade”, Lect. Notes Math., 964, 1982, 95–109 | DOI | MR | Zbl

[5] P. J. Browne, B. D. Sleeman, Proc. Edinburg Math. Soc., 3 (1986), 343—348 | DOI | MR

[6] B. D. Sleeman, “Some aspects of Multi-parameter spectral theory”, Spectral theory and asymptotics of differential equations, 13 (1970), 81–94 | MR

[7] H. Volkmer, Proc. Roy. Soc. Edinburg, 39:1 (1996), 119–132 | MR | Zbl

[8] Yu. M. Berezansky, A. Yu. Konstantinov, “Expansion in eigenvector of multiparameter spectral problems”, Ukr. matem. zhurnal, 44:7 (1992), 901–913 | MR

[9] V. A. Yakubovich, V. M. Starzhinskii, Lineinye differentsialnye uravneniya s periodicheskimi koeffitsientami i ikh prilozheniya, Nauka, M., 1972 | MR | Zbl

[10] B. M. Levitan, I. G. Sargsyan, Operatory Shturma–Liuvillya i Diraka, Nauka, M., 1988 | MR