Solutions of functional equations in abstract Wiener spaces

DOI10.1007/BF01085430zbMath0518.60073MaRDI QIDQ1054082

R. N. Kadobyanskij

Publication date: 1982

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

zbMATH Keywords

Cauchy problemWiener measureintegral representationsHilbert-Schmidt operators

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Cites Work

• Unnamed Item
• Gaussian measures in Banach spaces
• On nonlinear transformations of Gaussian measures
• Potential theory on Hilbert space
• The orthogonal development of non-linear functionals in series of Fourier-Hermite functionals
• Non-linear integral equations
• The solution of linear integral equations by means of Wiener integrals

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