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Literature cited
M. N. Feller, “On infinite-dimensional elliptic operators,” Dokl. Akad. Nauk SSSR,205, No. 1, 36–39 (1972).
M. N. Feller, “On the solvability of infinite-dimensional elliptic equations with constant coefficients,” Dokl. Akad. Nauk SSSR,214, No. 1, 59–62 (1974).
M. N. Feller, “On the solvability of infinite-dimensional self-adjoint elliptic equations,” Dokl. Akad. Nauk SSSR,221, No. 5, 1046–1049 (1975).
P. Levy, Problemes Concrets d'analyse Fonctionnelle, Paris (1951).
G. E. Shilov and Fan Dyk Tin', Integral, Measure and Derivative on Linear Spaces [in Russian], Nauka, Moscow (1967).
L. Gärding, “Dirichlet's problem for linear elliptic partial differential equations,” Math. Scand.,1, 55–72 (1953).
M. N. Feller, “On Laplace's equation in the space L2(C),” Dop. Akad. Nauk Ukr. RSR,12, 1558–1562 (1965).
M. N. Feller, “On Poisson's equation in the space L2(C),” Dop. Akad. Nauk Ukr. RSR,4, 426–429 (1966).
M. N. Feller, “On the equation ΔU(x) + P(x)U(x)=0 in functional spaces,” Dokl. Akad. Nauk SSSR,172, No. 6, 1282–1285 (1967).
P. D. Lax and A. N. Milgram, “Parabolic equations,” in: Contributions to the Theory of Partial Differential Equations, Ann. Math. Stud.,33, 167–190 (1954).
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Translated from Matematicheskie Zametki, Vol. 25, No. 3, pp. 419–424, March, 1979.
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Feller, M.N. Solvability of infinite-dimensional elliptic equations with variable coefficients. Mathematical Notes of the Academy of Sciences of the USSR 25, 221–224 (1979). https://doi.org/10.1007/BF01159515
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DOI: https://doi.org/10.1007/BF01159515