Hilbert spaces of entire functions with trivial zeros

Mathematics – Functional Analysis

Scientific paper

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10 pages

Scientific paper

Let $H$ be a Hilbert space of entire functions. Let $H'$ be the space of the
functions $f(z)/\prod_i(z-z_i)$ where $f$ belongs to $H$ and vanishes at $n$
given complex points $z_i$. We compute a suitable $E$ function for $H'$ when
one is given for $H$.

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