Interpolation by entire functions with growth conditions

Details Interpolation by entire functions with growth conditions Interpolation by entire functions with growth conditions

2008-01-19

arxiv.org/abs/0801.3041v1

Mathematics

Complex Variables

Scientific paper

Let $A_p(\C)$ be the space of entire functions such that $| f(z)|\le
Ae^{Bp(z)}$ for some $A,B>0$ and let $V$ be a discrete sequence of complex
numbers which is not a uniqueness set for $A_p(\C)$. We use $L^2$ estimates for
the $\bar\partial$ equation to charaterize the trace of $A_p(\C)$ on $V$.

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