Geodesic
About expantion by eigen functions self-adjoint differential operator's with coefficients having precise behavior in infinity
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2004), pp. 22-27 Cet article a éte moissonné depuis la source Math-Net.Ru

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In $L^2(\mathbb R)$ space an $m\geq 2$ order self-adjoint differential operator is observed, the coefficients of which have precise behaviour in infinity. A Furei expansion formula is derived by means of minimal system of general eigen functions of this operator. 
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A. H. Petrosyan; I. G. Khachatryan. About expantion by eigen functions self-adjoint differential operator's with coefficients having precise behavior in infinity. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2004), pp. 22-27. http://geodesic.mathdoc.fr/item/UZERU_2004_1_a1/

[1] M. A. Naimark, Lineinye differentsialnye operatory, Nauka, M., 1969

[2] A. G. Petrosyan, “Issledovanie tochechnogo spektra samosopryazhennogo differentsialnogo operatora s koeffitsientami, imeyuschimi opredelennye povedeniya”, Uchenye zapiski EGU, 2003, no. 3, 8–15

[3] I. G. Khachatryan, “O formulakh obrascheniya, svyazannykh s samosopryazhennymi differentsialnymi operatorami”, Izv. AN Arm. SSR, Matematika, 19:4 (1984), 265–279 | MR | Zbl

[4] I. G. Khachatryan, “Ob odnoi obratnoi zadache dlya differentsialnykh operatorov vysshikh poryadkov na vsei osi”, Izv. AN Arm. SSR, Matematika, 18:5 (1983), 394–402 | MR | Zbl