Wavelet frames on groups and hypergroups via discretization of Calderón formulas (Q706219)

It is well known that the theory for Calderón-Zygmund singular integral operators can be used to discretize the continuous wavelet transform and obtain wavelet expansions in several classical function spaces and molecule spaces. This approach is generalized to singular integral operators on spaces of homogeneous type, for a generalized type of translation; this yields wavelet-type expansions for, e.g., an affine extension of the Heisenberg group and on certain commutative hypergroups.