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Convolution Equation in $\mathcal{S}^{\prime\ast}$---Propagation of Singularities

  Published:2001-03-01
 Printed: Mar 2001
  • Stevan Pilipović
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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, 46F15, 58G07 show english descriptions Boundary behavior of holomorphic functions
Hyperfunctions, analytic functionals [See also 32A25, 32A45, 32C35, 58J15]
unknown classification 58G07
32A40 - Boundary behavior of holomorphic functions
46F15 - Hyperfunctions, analytic functionals [See also 32A25, 32A45, 32C35, 58J15]
58G07 - unknown classification 58G07
 

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