Direct singularities and completely invariant domains of entire functions
نویسندگان
چکیده
منابع مشابه
Direct Singularities and Completely Invariant Domains of Entire Functions
Let f be a transcendental entire function which omits a point a ∈ C. We show that if D is a simply connected domain which does not contain a, then the full preimage f−1(D) is disconnected. Thus, in dynamical context, if an entire function has a completely invariant domain and omits some value, then the omitted value belongs to the completely invariant domain. We conjecture that the same propert...
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Let f be a transcendental entire function which omits a point a ∈ C. We show that if D is a simply connected domain which does not contain a, then the full preimage f(D) is disconnected. Thus, in dynamical context, if an entire function has a completely invariant domain and omits some value, then the omitted value belongs to the completely invariant domain. We conjecture that the same property ...
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6. M. M. Dragilev, "On compatibly regular bases in nonnuc!ear Kothe spaces," Mat. Zametki, 30, No. 6, 819-822 (1981). P. B. Djakov, "A short proof of the Crone and Robinson theorem on quasiequivalence of regular bases," Stud. Math., 53, No. 3, 269-271 (1975). V. P. Zakharyuta and V. P. Konkdakov, "on the weak equivalence of bases of Kothe spaces," Izv. SKNts, VSh, ~, 12-15 (1983). M. M. Dragile...
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ژورنال
عنوان ژورنال: Illinois Journal of Mathematics
سال: 2008
ISSN: 0019-2082
DOI: 10.1215/ijm/1242414130