Advertisement

Multiplication by Functions

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

Abstract

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 \(\phi,\ ({\rm test}(\psi\ f))(\phi ) = ({\rm test}\ f)(\psi\ \phi ).\)

Keywords

Open Subset Linear Space Classical Solution Homogeneous Equation Radon Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Mathematical InstituteUtrecht UniversityUtrechtThe Netherlands

Personalised recommendations