Meichsner, JanJanMeichsnerSeifert, ChristianChristianSeifert2020-10-262020-10-262020-08-01Fractional calculus and applied analysis 23 (4): 1054-1089 (2020-08-01)http://hdl.handle.net/11420/7663We show that fractional powers of general sectorial operators on Banach spaces can be obtained by the harmonic extension approach. Moreover, for the corresponding second order ordinary differential equation with incomplete data describing the harmonic extension we prove existence and uniqueness of a bounded solution (i.e. of the harmonic extension).en1311-0454Fractional calculus and applied analysis2020410541089fractional powersDirichlet-to-Neumann operatorNon-negative operatorMathematics - Functional AnalysisMathematics - Functional Analysis47A05, 47D06, 47A60On the harmonic extension approach to fractional powers in Banach spacesJournal Article10.1515/fca-2020-00551905.06779v3Other