Slowly decreasing entire functions and convolution equations

Olaf von Grudzinski

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Displaying similar documents to “Slowly decreasing entire functions and convolution equations”

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We say that an entire function $f (z) = \sum_{k = 0} a_{k} z^{n_{k}} (0 = n_{0} < n_{1} < n_{2} < ...)$ has Fejér gaps if $\sum_{k = 1}^{\infty} 1 / n_{k} < \infty .$ The main result of this paper is as follows: An entire function with Fejér gaps has no finite deficient value.

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