Borel transforms of functions from a parameterized family of Hilbert spaces of entire functions
We introduce a continuous scale of Hilbert spaces of entire functions $P_\beta (D)$ for a bounded convex domain $D$ on the complex plane. For the parameters $\beta \in (\frac 12;\frac 32)$ a complete description of the spaces of Borel transforms of functions from $P_\beta (D)$ is given.
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