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

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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[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