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.
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© 1969 Springer-Verlag Berlin Heidelberg
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Hörmander, L. (1969). Distribution theory. In: Linear Partial Differential Operators. Die Grundlehren der mathematischen Wissenschaften, vol 116. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-30722-9_1
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DOI: https://doi.org/10.1007/978-3-662-30722-9_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-30653-6
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