Continuous Measures on Homogenous Spaces
Copyright policy )Continuous Measures on Homogenous Spaces
In this paper we generalize Wiener’s characterization of continuous measures to compact homogenous manifolds. In particular, we give necessary and sufficient conditions on probability measures on compact semisimple Lie groups and nilmanifolds to be continuous. The methods use only simple properties of heat kernels.
- Royal Institute of Technology Sweden
- The Ohio State University United States
N. Wiener's criterion, Kernel functions in one complex variable and applications, Dynamical Systems (math.DS), 22E46, 43A85, Harmonic analysis on homogeneous spaces, heat kernel, FOS: Mathematics, Probability measures on groups or semigroups, Fourier transforms, factorization, continuous measures, Mathematics - Dynamical Systems, Probabilities on homogeneous spaces, Groups acting on specific manifolds
N. Wiener's criterion, Kernel functions in one complex variable and applications, Dynamical Systems (math.DS), 22E46, 43A85, Harmonic analysis on homogeneous spaces, heat kernel, FOS: Mathematics, Probability measures on groups or semigroups, Fourier transforms, factorization, continuous measures, Mathematics - Dynamical Systems, Probabilities on homogeneous spaces, Groups acting on specific manifolds
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