2017
Том 69
№ 7

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Integral representation of even positive-definite functions of two variables

Lopotko O. V.

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Abstract

We obtain integral representation of even functions of two variables, for which the kernel $[k_1( x + y) + k_2( x - y)],\quad x, y \in R^2$, is positive definite.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 6, pp 981-992.

Citation Example: Lopotko O. V. Integral representation of even positive-definite functions of two variables // Ukr. Mat. Zh. - 2011. - 63, № 6. - pp. 844-853.

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