Geodesic
Some properties of generalized eigenfunctions of one class of differential operators
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2012), pp. 3-9.

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

In the paper considers continuality in a parameter of generalized eigenfunctions of one class of differential operators. Properties of one class of functions constructed by means of the generalized eigenfunctions and used in the theory of integral equations are studied.
Keywords: differential operator, generalized eigenfunction, integral equation.
Mots-clés : spectral decomposition 
@article{UZERU_2012_1_a0,
     author = {H. A. Asatryan and T. V. Sargsyan},
     title = {Some properties of generalized eigenfunctions of one class of differential operators},
     journal = {Proceedings of the Yerevan State University. Physical and mathematical sciences},
     pages = {3--9},
     publisher = {mathdoc},
     number = {1},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZERU_2012_1_a0/}
}
TY  - JOUR
AU  - H. A. Asatryan
AU  - T. V. Sargsyan
TI  - Some properties of generalized eigenfunctions of one class of differential operators
JO  - Proceedings of the Yerevan State University. Physical and mathematical sciences
PY  - 2012
SP  - 3
EP  - 9
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/UZERU_2012_1_a0/
LA  - en
ID  - UZERU_2012_1_a0
ER  - 
%0 Journal Article
%A H. A. Asatryan
%A T. V. Sargsyan
%T Some properties of generalized eigenfunctions of one class of differential operators
%J Proceedings of the Yerevan State University. Physical and mathematical sciences
%D 2012
%P 3-9
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/UZERU_2012_1_a0/
%G en
%F UZERU_2012_1_a0
H. A. Asatryan; T. V. Sargsyan. Some properties of generalized eigenfunctions of one class of differential operators. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2012), pp. 3-9. http://geodesic.mathdoc.fr/item/UZERU_2012_1_a0/

[1] M.A. Naimark, Linear Differential Operators, Nauka, M., 1969 (in Russian) | MR

[2] S.V. Babasyan, The Inverse Scattering Problem for Differential Operators of Higher Orders, Phd. Thesis, Yer., 1992 (in Russian)

[3] S.V. Babasyan, I.G. Khachatryan, “The Fourier expansions by means of minimal system of general eigen-function of the self-adjoint differential operator”, Dokladi AN Arm. SSR, 87:3 (1988), 111–114 (in Russian) | MR | Zbl

[4] A.G. Kamalyan, A.B. Nersesyan, I.G. Khachatryan, “Type Integral Operators on Half-Line ”, Dokladi NAN Armenii, 111:1 (2011), 15–22 (in Russian) | MR

[5] A.G. Kamalyan, I.G. Khachatryan, A.B. Nersesyan, Izv. NAN Armenii. Matematika. (Journal of Contemporary Mathematical Analysis), 29:6 (1994), 31–81 | MR | Zbl

[6] A.G. Kamalyan, A.B. Nersesyan, I.G. Khachatryan, “The solvability of integral equations $\mathcal{L}$-convolution”, The Third Russian-Armenian Workshop by Math. Physics, Compl. Analysis and Related Topics (Yer., 2010), 74–79

[7] F. Olver, Introduction to Asymptotics and Special Functions, Nauka, M., 1978 (in Russian) | MR