Convolution Equation in —Propagation of Singularities
Canadian mathematical bulletin, Tome 44 (2001) no. 1, pp. 105-114
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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 $S{{S}_{*}}u$ .
Pilipović, Stevan. Convolution Equation in —Propagation of Singularities. Canadian mathematical bulletin, Tome 44 (2001) no. 1, pp. 105-114. doi: 10.4153/CMB-2001-013-3
@article{10_4153_CMB_2001_013_3,
author = {Pilipovi\'c, Stevan},
title = {Convolution {Equation} in {{\textemdash}Propagation} of {Singularities}},
journal = {Canadian mathematical bulletin},
pages = {105--114},
year = {2001},
volume = {44},
number = {1},
doi = {10.4153/CMB-2001-013-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-013-3/}
}
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