Geodesic
Continuous linear right inverses for convolution operators in spaces of real analytic functions
Studia Mathematica, Tome 110 (1994) no. 1, pp. 65-82

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We determine the convolution operators $T_μ := μ*$ on the real analytic functions in one variable which admit a continuous linear right inverse. The characterization is given by means of a slowly decreasing condition of Ehrenpreis type and a restriction of hyperbolic type on the location of zeros of the Fourier transform μ̂(z).
DOI : 10.4064/sm-110-1-65-82

Michael Langenbruch 1

1 
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Michael Langenbruch. Continuous linear right inverses for convolution operators in spaces of real analytic functions. Studia Mathematica, Tome 110 (1994) no. 1, pp. 65-82. doi: 10.4064/sm-110-1-65-82

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