Integral representation of even positive-definite functions of one variable

Lopotko O. V.

Volume 71, № 11, 2019
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Ukr. Mat. Zh.
Volume 62, № 2, 2010
pp. 281 – 284

Integral representation of even positive-definite functions of one variable

Lopotko O. V.

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Abstract

We obtain an integral representation of even positive-definite functions of one variable for which the kernel $[k_1(x + y) + k_2 (x − y)]$ is positive definite.

English version (Springer): Ukrainian Mathematical Journal 62 (2010), no. 2, pp 320-324.

Citation Example: Lopotko O. V. Integral representation of even positive-definite functions of one variable // Ukr. Mat. Zh. - 2010. - 62, № 2. - pp. 281 – 284.

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