Literature cited
M. H. Martin, “A generalization of the method of separation of variables,” J. Rat. Mech. and Anal.,2, No. 2, 315–327 (1953).
G. Birkhoff, Hydrodynamics, Dover, New York (1950).
J. Aczél, Mat. Lapok,12, No. 1–2, 62–71 (1961).
J. Aczél, “Sur une classe d'equations fonctionelles bilineaires à plusieurs fonctions inconnues,” Publ. Elektrotehn Fac. Univ. Beogradu., Mat. i Fiz., No. 61–64, 12–20 (1961).
B. Friedman, “An abstract formulation of the method of separation, of variables,” in: Proc. of the Conf. on Differential Equations, Univ. of Maryland Book Store, College Park, Md. (1956), pp. 209–226.
Yu. M. Berezanskii, Expansions in Eigenfunctions of Selfadjoint Operators, Amer. Math. Soc. Translations, Vol. No. 17, Amer. Math. Soc., Providence, R. L (1968).
R. Scatten, A Theory of Cross Spaces, Ann. of Math. Studies, Vol. 26, Princeton Univ. Press, Princeton, N. J. (1950).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 26, No. 5, pp. 652–657, September–October, 1974.
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Kalenyuk, P.I. A generalization of the method of separation of variables. Ukr Math J 26, 533–536 (1974). https://doi.org/10.1007/BF01085281
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DOI: https://doi.org/10.1007/BF01085281