No entire inner functions

2018/09/29 by Cobos, Alberto, Seco, Daniel
#30H10 #47A15 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA) #Primary 30J05 #Secondary 30H05

paper · doi:10.48550/arxiv.1810.00215

Abstract

We study generalized inner functions on a large family of Reproducing Kernel Hilbert Spaces. We show that the only inner functions that are entire are the normalized monomials.

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