Geodesic
On the uniqueness of integral representations of positive definite kernels
Sbornik. Mathematics, Tome 36 (1980) no. 2, pp. 273-282 
Phan Văn Chu'o'ng. On the uniqueness of integral representations of positive definite kernels. Sbornik. Mathematics, Tome 36 (1980) no. 2, pp. 273-282. http://geodesic.mathdoc.fr/item/SM_1980_36_2_a8/
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     title = {On the uniqueness of integral representations of positive definite kernels},
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     volume = {36},
     number = {2},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1980_36_2_a8/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper a theorem is proved on the uniqueness of integral representations of positive definite kernels commuting with variable-coefficient elliptic differential expressions. Bibliography: 4 titles.

[1] A. G. Kostyuchenko, B. S. Mityagin, “Polozhitelno opredelennye funktsionaly na yadernykh prostranstvakh”, Trudy Mosk. Matem. ob-va, 9 (1960), 283–316 | Zbl

[2] Yu. M. Berezanskii, Razlozhenie po sobstvennym funktsiyam samosopryazhennykh operatorov, “Naukova Dumka”, Kiev, 1965 | MR

[3] S. D. Eidelman, Parabolicheskie sistemy, izd-vo “Nauka”, Moskva, 1964 | MR

[4] A. G. Kostyuchenko, “O teoreme edinstvennosti resheniya zadachi Koshi i smeshannoi zadachi dlya nekotorykh tipov sistem lineinykh uravnenii v chastnykh proizvodnykh”, DAN SSSR, 103:1 (1955), 13–16 | Zbl