Continuous linear right inverses for convolution operators in spaces of real analytic functions. (English) Zbl 0824.35147
The author characterizes the convolution operators \(T_ \mu = \mu^*\) on real analytic functions which admit a continuous linear right inverse, by means of the zeros of the Fourier transform \(\widehat \mu\) of \(\mu\).
Reviewer: J.Appell (Würzburg)
MSC:
| 35R50 | PDEs of infinite order |
| 46E25 | Rings and algebras of continuous, differentiable or analytic functions |
| 46F15 | Hyperfunctions, analytic functionals |
| 42A38 | Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type |
