Averages on annuli of Eulidean space

Emmanuel Lesigne (1) , François Havard (1)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique

We study the range of validity of differentiation theorems and ergodic theorems for $\R^d$ actions, for averages on ''thick spheres'' of Euclidean space.

Domaines: Systèmes dynamiques [math.DS]; Analyse classique [math.CA]

Emmanuel Lesigne, François Havard. Averages on annuli of Eulidean space. Advances in Pure and Applied Mathematics, 2010, 1 (2), pp.259-274. ⟨hal-00360557⟩