Meichsner, JanJanMeichsnerSeifert, ChristianChristianSeifert2021-04-222021-04-222021in: Operator Theory: Advances and Applications 282: 441-453 (2021)http://hdl.handle.net/11420/9356We consider the Caffarelli–Silvestre extension problem, i.e., a Bessel type ODE in a Banach space X with a closed and typically unbounded operator A as right-hand side and point out a couple of consequences arising from the assumption of the well-posedness of the problem. In the end a conjecture is stated concerning the implications of analyticity of the solution of the extension problem.enDirichlet-to-Neumann operatorFractional powersNon-negative operatorConference Paper10.1007/978-3-030-51945-2_22Other