Composition operators, defined by the mapping f ↦ f ∘ φ where φ is a suitable self-map, constitute a vital class of operators in functional analysis. Their study using ergodic theory has shed light on ...
Composition operators and Dirichlet series are central topics within functional analysis that bridge operator theory, analytic number theory and complex analysis. At their core, composition operators ...
The Rocky Mountain Journal of Mathematics, Vol. 39, No. 5 (2009), pp. 1467-1496 (30 pages) In this expository paper, we describe the Weyl calculus for bounded, self-adjoint operators acting on a ...