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Applications of the Epimorphism Theorem to Partial Differential Equations with Constant Coefficients

  • François Treves
Part of the Die Grundlehren der mathematischen Wissenschaften book series (GL, volume 146)

Abstract

We denote by E’ the space of distributions in R n having a compact support. We recall that the space of all the distributions in R n , D’, is a convolution module over E’: that is to say, (µ, v) → µ*v is a bilinear mapping of D’ × E’ into D’.

Keywords

Open Subset Compact Subset Compact Support Constant Coefficient Bilinear Mapping 
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Copyright information

© Springer-Verlag Berlin · Heidelberg 1967

Authors and Affiliations

  • François Treves
    • 1
  1. 1.Purdue UniversityLafayetteUSA

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