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Convolution Equation in —Propagation of Singularities

Published online by Cambridge University Press:  20 November 2018

Stevan Pilipović
Stevan Pilipović*
Affiliation:
Institute of Mathematics University of Novi Sad Trg Dositeja Obradovića 4 21000 Novi Sad Yugoslavia, email: pilipovic@unsim.nc.ac.yu
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Abstract

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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 $S{{S}_{*}}u$.

Keywords

32A4046F1558G07
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 1 , 01 March 2001 , pp. 105 - 114
Copyright
Copyright © Canadian Mathematical Society 2001

References

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