Integral representation of even positive-definite functions of two variables

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.

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Bibliographic Details
Date:2011
Main Authors: Lopotko, O. V., Лопотко, О. В.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2011
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2768
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal