Tusi Mathematical Research Group (TMRG)Advances in Operator Theory2538-225X2420171001Besov-Dunkl spaces connected with generalized Taylor formula on the real line5165304922810.22034/aot.1704-1154ENChokri AbdelkefiDepartment of Mathematics, University of TunisFaten RachedJournal Article20170424In 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.http://www.aot-math.org/article_49228_6a57f1b28dc7c614b886ecd7150ded5c.pdf