New conditions of harmonicity of functions of infinitely many variables. (Translation nonpositive case)

DOI10.1007/BF01058900zbMath0944.46039OpenAlexW2033595717MaRDI QIDQ1568116

M. N. Feller

Publication date: 29 June 2000

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01058900

zbMATH Keywords

harmonicity of functions in a Hilbert spacenonnegative second derivatives

Mathematics Subject Classification ID

Derivatives of functions in infinite-dimensional spaces (46G05) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)

Cites Work

• On the laws of large numbers for nonnegative random variables
• Necessary and sufficient conditions of harmonicity of functions of infinitely many variables (Jacobian case)
• Supply of harmonic functions of an infinite number of variables. III

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