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An integral for distributions

Published online by Cambridge University Press:  24 October 2008

J. C. Burkill
J. C. Burkill
Affiliation:
PeterhouseCambridge
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Extract

The theory of distributions, systematized by L. Schwartz (3), has many applications in pure mathematics and physics. A number of different approaches to the theory are possible. Schwartz's own account requires for its comprehension a familiarity with the topology of general spaces. I give in this note another approach to the theory based on a process of integration of the Stieltjes type.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 4 , October 1957 , pp. 821 - 824
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

REFERENCES

(1)Bochner, S.Vorlesungen über Fouriersche Integrale (Leipzig, 1932), pp. 110–44.Google Scholar
(2)Koizumi, S. and Sunouchi, G.Tohoku Math. J. (2), 5 (1953), 243–60.Google Scholar
(3)Schwartz, L.Théorie des distributions (Paris, 1950).Google Scholar
(4)Young, L. C.Math. Z. 43 (1937), 255–70.CrossRefGoogle Scholar