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Distribution theory

Chapter
Part of the Die Grundlehren der Mathematischen Wissenschaften book series (GL, volume 116)

Abstract

The purpose of this chapter is to give a condensed exposition of those definitions and results of distribution theory which will be required in the following chapters. The reader may thus consult Schwartz [1] for a more detailed study of almost all topics discussed here. An exception is Definition 1.3.3 and the related Theorem 1.7.8, which are based on an idea of Ehrenpreis [2] (see also Malgrange [3] and Hörmander [14]). In section 1.8 we have added a definition of distributions on manifolds which will be needed in Chapter X. We have also inserted there a brief sketch of the classical integration theory for the characteristic equation.

Keywords

Differential Operator Compact Subset Linear Form Compact Support Weak Topology 
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.

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Copyright information

© Springer-Verlag OHG, Berlin · Göttingen · Heidelberg 1963

Authors and Affiliations

  1. 1.University of Stockholm and at Stanford UniversitySweden

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