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Nuclear Spaces of Generalized Test Functions

Published online by Cambridge University Press:  20 November 2018

H. Millington
H. Millington*
Affiliation:
University of British Columbia, Vancouver, British Columbia
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It is well known that a large proportion of the locally convex spaces encountered in distribution theory are nuclear (Grothendieck [4], Treves [10], Schaeffer [8].) In [1] Beurling introduced spaces of test functions more general than those previously used. In this paper we shall show that many of these spaces, and resulting spaces of distributions, are also nuclear spaces.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 2 , June 1973 , pp. 269 - 273
Copyright
Copyright © Canadian Mathematical Society 1973

References

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