Composition operators on spaces of entire functions

Chacón, Gerardo; Chacón, Gerardo; Giménez, José

doi:10.1090/S0002-9939-07-08764-3

Composition operators on spaces of entire functions
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by Gerardo A. Chacón, Gerardo R. Chacón and José Giménez

Proc. Amer. Math. Soc. 135 (2007), 2205-2218

DOI: https://doi.org/10.1090/S0002-9939-07-08764-3

Published electronically: March 2, 2007

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Abstract:

In this paper we study composition operators on spaces of entire functions. We determine which entire functions induce bounded composition operators on the Paley-Wiener space, $L_\pi ^2$, and on the $E^2(\gamma )$ spaces. In addition, we characterize compact composition operators on these spaces. We also study the cyclic properties of composition operators acting on $L_\pi ^2$.

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