Thermal potentials on a Hilbert space

DOI10.1007/BF01139989zbMath0585.46037OpenAlexW1964695842MaRDI QIDQ1071217

N. V. Norin

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1007/bf01139989

zbMATH Keywords

Wiener processGaussian measuresheat potentialdouble-layer potentialsingle-layer potentialexistence of solutions of generalized heat equationexplicit formulas for differentialsFréchet infinitely differentiableself-adjoint positive Hilbert-Schmidt operator

Mathematics Subject Classification ID

Heat equation (35K05) Series solutions to PDEs (35C10) Probabilistic potential theory (60J45) Measures and integration on abstract linear spaces (46G12) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Distributions on infinite-dimensional spaces (46F25) Connections of harmonic functions with differential equations in two dimensions (31A35)

Related Items (1)

Differentiable measures and the Malliavin calculus

Cites Work

• Gaussian measures in Banach spaces
• Smooth functions on Banach spaces
• Potential theory on Hilbert space
• The theory of differentiation in linear topological spaces
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