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Convolution Equation in
—Propagation of Singularities
Published online by Cambridge University Press: 20 November 2018
Abstract
The singular spectrum of $u$ in a convolution equation
$\mu *u\,=\,f$, where
$\mu$ and
$f$ are tempered ultra distributions of Beurling or Roumieau type is estimated by
$$SSu\,\subset \,\left( {{\mathbf{R}}^{n}}\,\times \,\text{Char}\,\mu \right)\,\cup \,SSf$$
The same is done for $S{{S}_{*}}u$.
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- Copyright © Canadian Mathematical Society 2001