The paper defines fractional powers of bounded operators via Newton and Shannon interpolation of integer powers, but the sinc formula fails on the eigenspace λ=-1 and the zeta interpolation lacks a convergence proof.
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Fractional operators via analytic interpolation of integer powers
The paper defines fractional powers of bounded operators via Newton and Shannon interpolation of integer powers, but the sinc formula fails on the eigenspace λ=-1 and the zeta interpolation lacks a convergence proof.