In the present paper, we define for the Dunkl tranlation operators on the real line, the Besov-Dunkl space of functions for which the remainder in the generalized Taylor's formula has a given order. We provide characterization of these spaces by the Dunkl convolution.
"Besov-Dunkl spaces connected with generalized Taylor formula on the real line." Adv. Oper. Theory 2 (4) 516 - 530, Autumn 2017. https://doi.org/10.22034/aot.1704-1154