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math.SP2026
Spectral and dynamical results related to certain non-integer base expansions on the unit interval
Horia D. Cornean, Ira W. Herbst, Giovanna Marcelli
We consider certain non-integer base -expansions of Parry's type and we study various properties of the transfer (Perron-Frobenius) operator $\mathcal{P}:L^p([0,1])\mapsto L^p(…
math.SP2026
On the directional growth of the resolvent norm
Horia Cornean, Henrik Garde, Arne Jensen
Let be a closed densely defined operator on a separable Hilbert space . Assume the resolvent set is non-empty. For let denote the s…