Shift-invariant measures on Hilbert and related function spaces

DOI10.1007/S10958-020-04980-1OpenAlexW3082354901MaRDI QIDQ2199022

V. M. Busovikov, V. Zh. Sakbaev

Publication date: 16 September 2020

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-020-04980-1

Mathematics Subject Classification ID

Operator theory (47-XX) Measure and integration (28-XX)

Related Items (2)

Direct limit of shift-invariant measures on a Hilbert space ⋮ Dirichlet problem for Poisson equation on the rectangle in infinite dimensional Hilbert space

Cites Work

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• Gaussian measures in Banach spaces
• Averaging of random walks and shift-invariant measures on a Hilbert space
• Perturbation theory for linear operators.
• Random walks and measures on Hilbert space that are invariant with respect to shifts and rotations
• Does there exist a Lebesgue measure in the infinite-dimensional space?
• "Lebesgue Measure" on R ∞
• Weighted Sobolev spaces

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