In the present note it is shown that for a set of positive integers ∧ a Müntztype condition holds if and only if there exists a lacunary power series f(z)=∑v∈∧fv/zv that allows an analytic and bounded continuation to the complement of a closed logarithmical sector with vertex at the origin.
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Mathematics
, 2025, Issue 1, pp. 1–10
ISSN Online: 0000-0000
DOI:
10.xxxx/example-doi