Hilbert spaces of entire functions with trivial zeros

Abstract

Let $H$ be a Hilbert space of entire functions. Let $H^{\prime }$ 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 $H^{\prime }$ when one is given for $H$.

10 pages

References in corpus (1)

• Paley-Wiener spaces with vanishing conditions and Painlevé VI transcendents

Cited by in corpus (1)

• Paley-Wiener spaces with vanishing conditions and Painlevé VI transcendents