Multiplication by Functions

  • J. J. Duistermaat
  • J. A. C. Kolk
Part of the Cornerstones book series (COR)


If X is an open subset of Rn, the function ψ belongs to \(C^\infty (X),\) and f is locally integrable on X, one has, for every test function \(\phi,\ ({\rm test}(\psi\ f))(\phi ) = ({\rm test}\ f)(\psi\ \phi ).\)


Open Subset Linear Space Classical Solution Homogeneous Equation Radon Measure 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Mathematical InstituteUtrecht UniversityUtrechtThe Netherlands

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