A sampling theorem for functions in Besov spaces on spaces of homogeneous type

Philippe Jaming (1) , Felipe Negreira (1)

1 IMB - Institut de Mathématiques de Bordeaux

In this work we establish a sampling theorem for functions in Besov spaces on spaces of homogeneous type as defined in [HY] in the spirit of their recent counterpart for R d established by Jaming-Malinnikova in [JM]. The main tool is the wavelet decomposition presented by Deng-Han in [DH].

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 spaces of homogeneous type. Journal of Geometric Analysis, 2019, 29, pp.1571-1582. ⟨hal-01550125⟩