Literature cited
I. M. Gel'fand and B. M. Levitan, “On the determination of a differential equation from its spectral function,” Izv. Akad. Nauk SSSR, Ser. Mat.,15, No. 4, 309–360 (1951).
F. S. Rofe-Beketov, “Expansions in eigenfunctions of infinite systems of differential equations in the non-self-adjoint and self-adjoint cases,” Mat. Sb.,51, No. 3, 293–342 (1960).
M. M. Lavrent'ev, V. G. Vasil'ev, and V. G. Romanov, Multidimensional Inverse Problems for Differential Equations [in Russian], Nauka, Novosibirsk (1969).
Ju. M. Berezanskii, Expansions in Eigenfunctions of Self-Adjoint Operators, Translations of Math. Monographs, Vol. 17, Amer. Math. Soc., Providence, Rhode Island (1968).
A. A. Androshchuk, “On the inverse problem of the spectral analysis for a Sturm-Liouville equation with unbounded operator potential,” in: Application of Functional Analysis to Problems of Mathematical Physics [in Russian], Math. Inst., Academy of Sciences of Ukr. SSR (1973), pp. 3–55.
V. S. Vladimirov, Equations of Mathematical Physics, Marcel Dekker (1971).
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Translated from Ukrainskii Mathematicheskii Zhurnal, Vol. 38, No. 1, pp. 5–12, January–February, 1986.
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Androshchuk, A.A. Transformation operators for partial differential equations. Ukr Math J 38, 1–6 (1986). https://doi.org/10.1007/BF01056748
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DOI: https://doi.org/10.1007/BF01056748