Integral representation of positive definite kernels, associated with differential expression of second order of elliptic type

O.V. Lopotko (Ukrainian National Forestry University)

Abstract


We obtain the integral representation of positive definite kernels of the two variables associated with differential expression of second order of elliptic type.

Keywords


integral representation; positive definite function

References


Berezanskij Yu.M. Eigenfunction expansion of self-adjoint operators, Naukova dumka, Kyiv, 1965; 800 p. (in Russian)

Berezanskij Yu.M. "Generalization of Bochner theorem to expansions by eigenfunctions of differential operators", Doklady AN USSR, 1956; 108: pp. 893-896. (in Russian)

Tikhonov A.N., Samarskij A.A. Equations of mathematical physics, Gostehizdat, Moscow, 1953. (in Russian)


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ISSN (Online): 2518-7996
ISSN (Print): 2312-9557