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Bloch functions on the unit disk are those analytic functions f for which the quantity |f′(z)|(1 − |z|2) is bounded (for z in the disk). In this paper, Bloch functions on bounded homogeneous domains in complex m‐space are studied. The main result shows that many of the equivalent definitions of...
Let β > 1 be a real number, and let Tβ be the associated β‐transformation of the unit interval [0,1) given by Tβα = βα (mod 1). We write Q for the set of rational numbers, Q (β) for the smallest sub‐field of the reals containing β, and Per (β) for the set of (eventually) periodic points for Tβ,...
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