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Convolution operators on spaces of entire functions
Author(s) -
Fávaro V. V.,
Mujica J.
Publication year - 2018
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201600247
Subject(s) - mathematics , convolution (computer science) , entire function , convolution power , space (punctuation) , locally convex topological vector space , regular polygon , pure mathematics , convex function , operator theory , besov space , mathematical analysis , interpolation space , functional analysis , geometry , fourier transform , fourier analysis , artificial neural network , computer science , fractional fourier transform , linguistics , philosophy , biochemistry , chemistry , machine learning , gene
We show that nontrivial convolution operators on certain spaces of entire functions on E are frequently hypercyclic when E is a normed space and when E is the strong dual of a Fréchet nuclear space. We also obtain results of existence and approximation for convolution equations on certain spaces of entire functions on arbitrary locally convex spaces.

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