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Convolution Equation in $\mathcal{S}^{\prime\ast}$---Propagation of Singularities |
Canad. Math. Bull. 44(2001), 105-114
Published:2001-03-01
Printed: Mar 2001
Printed: Mar 2001
- Stevan Pilipović
Abstract
The singular spectrum of $u$ in a convolution equation $\mu * u = f$,
where $\mu$ and $f$ are tempered ultradistributions of Beurling or
Roumieau type is estimated by
$$
SS u \subset (\mathbf{R}^n \times \Char \mu) \cup SS f.
$$
The same is done for $SS_{*}u$.
| MSC Classifications: |
32A40 - Boundary behavior of holomorphic functions 46F15 - Hyperfunctions, analytic functionals [See also 32A25, 32A45, 32C35, 58J15] 58G07 - unknown classification 58G07 |