In this paper we show that every cyclic analytic 2-isometry can be represented as multiplication by z on a Dirichlet-type space D(μ). Here μ denotes a finite positive Borel measure on the unit circle.

In this paper we consider a compact Riemannian manifold or submanifold M, with an involutive isometry which has no fixed point, and we derive some spectral properties of this geometric situation. The ...