Displaying similar documents to “Translation and power independence for Bernoulli convolutions”

Some gap power series in multidimensional setting

Józef Siciak (2011)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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We study extensions of classical theorems on gap power series of a complex variable to the multidimensional case.

A note on formal power series

Xiao-Xiong Gan, Dariusz Bugajewski (2010)

Commentationes Mathematicae Universitatis Carolinae

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In this note we investigate a relationship between the boundary behavior of power series and the composition of formal power series. In particular, we prove that the composition domain of a formal power series g is convex and balanced which implies that the subset 𝕏 ¯ g consisting of formal power series which can be composed by a formal power series g possesses such properties. We also provide a necessary and sufficient condition for the superposition operator T g to map 𝕏 ¯ g into itself or to...