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This is a survey on analysis on non-compact co-compact Riemannian covers and how it relates to random walks on finitely generated groups. The focus is on the long time behavior of the heat kernel an...
Let G be a compact separable topological group. When does there exist a probability P such that P P = U ,where U is Haarmeasure and P + U? We show that such square roots exist if and only if G is ...
Abstract: It is proved that the Green's function of a symmetric finite range random walk on a co-compact Fuchsian group decays exponentially in distance at the radius of convergence R. It is also show...
In a recent paper Hilhorst (1) illustrated that the q-Fourier transform for q > 1 is not invertible in the space of density functions. Using an invariance principle he constructed a family of densit...

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