Regularity of solutions of convolution equations. (English) Zbl 1141.46020
The authors investigate the regularity of solutions of convolution equations in the framework of classes of ultradifferentiable functions and ultradistributions. In particular they consider the convolution equation \(\nu * \varphi = f\) where \(\nu\) is an ultradistribution having compact support and \(f\) belongs to certain class of ultradifferentiable functions and examine the case when \(\varphi\) is in the same class as \(f\).
Reviewer: Adem Kilicman (Mengabang Telipot)
MSC:
| 46F10 | Operations with distributions and generalized functions |
| 35B99 | Qualitative properties of solutions to partial differential equations |
References:
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