Continuation of positively determined functions on the ball in the infinite sphere

It is shown that every positive definite function on a ball in an infinite-dimensional sphere can be extended to a positive definite function on the whole sphere, and the extension is moreover unique.

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Bibliographic Details
Date:1992
Main Authors: Kuznetsova , О. M., Кузнецова , О. М.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1992
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/7890
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal