Hypoelliptic Bi-Invariant Laplacians on Infinite Dimensional Compact Groups
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Publication:3413536
DOI10.4153/CJM-2006-029-9zbMath1109.43004OpenAlexW2082935732MaRDI QIDQ3413536
Laurent Saloff-Coste, Alexander D. Bendikov
Publication date: 12 December 2006
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cjm-2006-029-9
Diffusion processes (60J60) Probabilistic potential theory (60J45) Hypoelliptic equations (35H10) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Distributions on infinite-dimensional spaces (46F25) Harmonic analysis on general compact groups (43A77)
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Perturbation results concerning Gaussian estimates and hypoellipticity for left-invariant Laplacians on compact groups ⋮ Time regularity for local weak solutions of the heat equation on local Dirichlet spaces ⋮ A decomposition of Calderón-Zygmund type and some observations on differentiation of integrals on the infinite-dimensional torus ⋮ Spaces of smooth functions and distributions on infinite-dimensional compact groups ⋮ Gaussian bounds for derivatives of central Gaussian semigroups on compact groups ⋮ On differentiation of integrals\cr in the infinite-dimensional torus
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