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The Pommiez operator (∆ f)(z) = (f (z) − f (0))/z is considered in the space Ᏼ(G) of the holomorphic functions in an arbitrary finite Runge domain G. A new proof of a representation formula of Linchuk of the commutant of ∆ in Ᏼ(G) is given. The main result is a representation formula of the commutant of the Pommiez operator in an arbitrary invariant… (More)

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