New condition of harmonicity of functions of infinitely many variables (translation nonpositive case)

A criterion of harmonicity of functions in a Hilbert space is given in the case of nonnegative second derivatives without using an assumption that they are mutually independent. This assumption is replaced by a weaker condition.

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Bibliographische Detailangaben
Datum:1994
Hauptverfasser: Feller, M. N., Феллер, М. Н.
Format: Artikel
Sprache:Russisch
Englisch
Veröffentlicht: Institute of Mathematics, NAS of Ukraine 1994
Online Zugang:https://umj.imath.kiev.ua/index.php/umj/article/view/5605
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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Zusammenfassung:A criterion of harmonicity of functions in a Hilbert space is given in the case of nonnegative second derivatives without using an assumption that they are mutually independent. This assumption is replaced by a weaker condition.