Some gap power series in multidimensional setting (Q2890391)

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scientific article; zbMATH DE number 6044543
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English
Some gap power series in multidimensional setting
scientific article; zbMATH DE number 6044543

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    Some gap power series in multidimensional setting (English)
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    8 June 2012
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    plurisubharmonic functions
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    multiple power series
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    lacunary power series
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    The author studies ``extensions of classical theorems on gap power series of a complex variable to the multi-dimensional case''. In particular, multiple power series with Ostrowski gaps are considered. The proofs are ingenious; however, they appear rather elementary compared to old results of the author.
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