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• W1970784851 abstract "We consider multipliers on the spaces of real analytic functions of one variable, i.e., maps for which monomials are eigenvectors. We prove representation theorems in terms of analytic functionals and in terms of holomorphic functions. We characterize Euler differential operators among multipliers. Then we characterize when such operators are surjective or have a continuous linear right inverse on the space of real analytic functions over an interval not containing zero. In particular we solve the problem when Euler differential equation of infinite order has a solution in the space of real analytic functions on an interval not containing zero." @default.
• W1970784851 created "2016-06-24" @default.
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• W1970784851 date "2012-06-01" @default.
• W1970784851 modified "2023-10-18" @default.
• W1970784851 title "Representation of multipliers on spaces of real analytic functions" @default.
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• W1970784851 doi "https://doi.org/10.1524/anly.2012.1150" @default.
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