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A remark about a certain class of distribution spaces

Published online by Cambridge University Press:  09 April 2009

S. R. Harasymiv
S. R. Harasymiv
Affiliation:
Department of MathematicsUniversity of Connecticut
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The object of this note is to exhibit a certain class of distribution spaces as being c-admissible in the sense of [1] and [2]. Throughout the terminology and notation are the same as in [1] and [2]. The only addition to this is that if x ∈ Rn then τx will denote the translation operator which carries each distribution u onto the distribution ux.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 11 , Issue 1 , February 1970 , pp. 65 - 68
Copyright
Copyright © Australian Mathematical Society 1970

References

[1]Harasymiv, S. R., ‘On Approximation by dilations of distributions’, Pacific J. Math. 28 (1969), 363–374.Google Scholar
[2]Harasymiv, S. R., ‘A note on approximation of distributions by quasi-analytic functions’, J. Aust. Math. Soc. 10 (1969), 95–105.CrossRefGoogle Scholar
[3]Edwards, R. E., Functional Analysis: Theory and Applications (Holt, Rinehart and Winston, New York, 1965).Google Scholar