Infinite-dimensional Laplace-Levi operators

DOI10.1007/BF01090467zbMath0483.47032MaRDI QIDQ1163219

M. N. Feller

Publication date: 1980

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

zbMATH Keywords

Gauss measureexpressions of second orderfunctions with an infinite number of independent variablesinfinite-dimensional differentialLaplace- Levy operators

Mathematics Subject Classification ID

General theory of partial differential operators (47F05) Measures and integration on abstract linear spaces (46G12) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (5)

Self-adjointness of a nonsymmetrized infinite-dimensional Laplace-Lévy operator ⋮ Supply of harmonic functions of an infinite number of variables. III ⋮ Supply of harmonic functions of an infinite number of variables. II ⋮ Infinite-dimensional self-adjoint Laplace-Levi operators ⋮ Supply of harmonic functions of an infinite number of variables. I

Cites Work

• Solvability of infinite-dimensional elliptic equations with variable coefficients
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• Wiener Integrals of Multiple Variations
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