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On Mappings Which Commute with Convolution

Published online by Cambridge University Press:  09 April 2009

S. R. Harasymiv
S. R. Harasymiv
Affiliation:
Department of Mathematics University of Connecticut
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The symbol D will be written for the space of indefinitely differentiable functions on the n-dimensional Euclidean space Rn which have compact support and Dapos; will denote the space of Schwartz distribution on Rn, the topological dual of D. Except where contrary is explicitly stated, it will be assumed that D′ is equipped with the strong topology β (D′, D) induced by D.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 12 , Issue 1 , February 1971 , pp. 122 - 128
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Yoshinaga, K. and Ogata, H., ‘On convolutions’, J. Sci. Hiroshima Univ., Ser. A, 22 (1958), 15–24.Google Scholar
[2]Edwards, R. E., Functional analysis: Theory and applications (Holt, Rinehart and Winston, New York, 1965).Google Scholar
[3]Schwartz, L., Théorie des distributions (Hermann, Paris, 1967).Google Scholar