A stronger form of the Egorychev-Falikman theorem on permanents

On a new form of the ergodic theorem for

On a new form of the ergodic theorem for the unit sphere with application to spectral theory

✍ Liangpan Li; Lan Tang 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 133 KB 👁 1 views

## Abstract Let 1 ≤ __p__ < ∞ and let __T__ be an ergodic measure‐preserving transformation of the finite measure space (__X__, __μ__). The classical __L^p^__ ergodic theorem of von Neumann asserts that for any __f__ ϵ __L^p^__ (__X__, __μ__), equation image When __X__ = 𝕊^__n__^ (the unit spher