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1994 | 110 | 1 | 65-82
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Continuous linear right inverses for convolution operators in spaces of real analytic functions

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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).
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  • Universität Wuppertal, FB 7 - Mathematik Gaussstr. 20, D-42097 Wuppertal, Germany
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