Displaying similar documents to “On operators of Saphar type.”

Pseudo shift operators with large images

M. C. Calderón-Moreno (2002)

Colloquium Mathematicae

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We give suitable conditions for the existence of many holomorphic functions f on a disc such that the image of any nonempty open subset under the action of pseudo shift operators on f is arbitrarily large. This generalizes an earlier result about images of derivatives and completes another one on infinite order differential operators.