Commuting semigroups of holomorphic mappings
نویسندگان
چکیده
منابع مشابه
Commuting semigroups of holomorphic mappings
Let S1 = {Ft}t≥0 and S2 = {Gt}t≥0 be two continuous semigroups of holomorphic self-mappings of the unit disk ∆ = {z : |z| < 1} generated by f and g, respectively. We present conditions on the behavior of f (or g) in a neighborhood of a fixed point of S1 (or S2), under which the commutativity of two elements, say, F1 and G1 of the semigroups implies that the semigroups commute, i.e., Ft◦Gs = Gs◦...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2008
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-15081