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We prove a version of the Ambrosio-Figalli-Trevisan superposition principlefor a restricted subclass of solutions to the Fokker-Planck-Kolmogorovequation, that is valid on separable infinite-dimensional Hilbert spaces.Furthermore, we transfer this restricted superposition principle into anonlinear setting.

A restricted superposition principle for (non-)linear Fokker-Planck-Kolmogorov equations on Hilbert spaces