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Convolution Equation in
—Propagation of Singularities
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- Journal:
- Canadian Mathematical Bulletin / Volume 44 / Issue 1 / 01 March 2001
- Published online by Cambridge University Press:
- 20 November 2018, pp. 105-114
- Print publication:
- 01 March 2001
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- Article
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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
$S{{S}_{*}}u$.
—Propagation of Singularities
