Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case)

A criterion of harmonicity of functions in a Hilbert space is given in the case of weakened mutual dependence of the second derivatives.

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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/5709
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Назва журналу:Ukrains’kyi Matematychnyi Zhurnal
Завантажити файл: Pdf

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Ukrains’kyi Matematychnyi Zhurnal
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author Feller, M. N.
Феллер, М. Н.
Феллер, М. Н.
author_facet Feller, M. N.
Феллер, М. Н.
Феллер, М. Н.
author_sort Feller, M. N.
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datestamp_date 2020-03-19T09:16:03Z
description A criterion of harmonicity of functions in a Hilbert space is given in the case of weakened mutual dependence of the second derivatives.
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spelling umjimathkievua-article-57092020-03-19T09:16:03Z Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case) Необходимое и достаточное условие гармоничности функций бесконечного числа переменных (якобиевый случай) Feller, M. N. Феллер, М. Н. Феллер, М. Н. A criterion of harmonicity of functions in a Hilbert space is given in the case of weakened mutual dependence of the second derivatives. Наведено критерій гармонічності функцій на гільберіовоме просторі у випадку, коли взаємна залежність других похідних послаблюється. Institute of Mathematics, NAS of Ukraine 1994-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5709 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 6 (1994); 785–788 Український математичний журнал; Том 46 № 6 (1994); 785–788 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5709/8103 https://umj.imath.kiev.ua/index.php/umj/article/view/5709/8104 Copyright (c) 1994 Feller M. N.
spellingShingle Feller, M. N.
Феллер, М. Н.
Феллер, М. Н.
Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case)
title Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case)
title_alt Необходимое и достаточное условие гармоничности функций бесконечного числа переменных (якобиевый случай)
title_full Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case)
title_fullStr Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case)
title_full_unstemmed Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case)
title_short Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case)
title_sort necessary and sufficient conditions of harmonicity of functions of infinitely many variables (jacobian case)
url https://umj.imath.kiev.ua/index.php/umj/article/view/5709
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