Distribution theory

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


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.


Differential Operator Compact Subset Linear Form Compact Support Weak Topology 
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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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