A sampling theorem for functions in Besov spaces on the sphere

Philippe Jaming (1) , Felipe Negreira (1)

1 IMB - Institut de Mathématiques de Bordeaux

In this work we establish sampling theorems for functions in Besov spaces on the d-dimensional sphere S d in the spirit of their recent counterparts established by Jaming-Malinnikova in [7]. The main tool is the needlet decomposition given by Narcowich et al. in [10].

Domaines: Analyse classique [math.CA]; Analyse fonctionnelle [math.FA]; Variables complexes [math.CV]

Philippe Jaming, Felipe Negreira. A sampling theorem for functions in Besov spaces on the sphere. SAMPTA2017, Jul 2017, Tallinn, Estonia. ⟨hal-01514070⟩