Geodesic
On a uniqueness theorem
Izvestiya. Mathematics, Tome 6 (1972) no. 1, pp. 241-248 
Yu. N. Frolov. On a uniqueness theorem. Izvestiya. Mathematics, Tome 6 (1972) no. 1, pp. 241-248. http://geodesic.mathdoc.fr/item/IM2_1972_6_1_a7/
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Voir la notice de l'article provenant de la source Math-Net.Ru

With an arbitrary solution of an operator equation of infinite order, a series of elementary solutions is associated. It is shown that if all coefficients of this series are zero, then the solution of the equation is identically zero.

[1] Carleson L., “On infinite differential equations with constant coefficients. I”, Math. Scandinavica, 1 (1953), 31–38 | MR | Zbl

[2] Leontev A. F., “Ob uravneniyakh beskonechnogo poryadka s analiticheskimi resheniyami”, Matem. zametki, 10:3 (1971), 269–278 | MR

[3] Frolov Yu. N., “O reshenii odnogo funktsionalnogo uravneniya v deistvitelnoi oblasti”, Sib. matem. zh., 12:5 (1971), 1014–1031

[4] Frolov Yu. N., “O reshenii uravneniya beskonechnogo poryadka v obobschennykh proizvodnykh”, Tr. Matem. in-ta im. V. A. Steklova AN SSSR, LIXV, 1961, 294–315