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Some remarks on Q -algebras

Nicolas Th. Varopoulos — 1972

Annales de l'institut Fourier

We study Banach algebras that are quotients of uniform algebras and we show in particular that the class is stable by interpolation. We also show that p , ( 1 p ) are Q algebras and that A n = L 1 ( Z ; 1 + | n | α ) is a Q -algebra if and only if α > 1 / 2 .

Brownian motion and transient groups

Nicolas Th. Varopoulos — 1983

Annales de l'institut Fourier

In this paper I consider M ˜ M a covering of a Riemannian manifold M . I prove that Green’s function exists on M ˜ if any and only if the symmetric translation invariant random walks on the covering group G are transient (under the assumption that M is compact).

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