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Multiplication of Operators by C∞ Functions

Published online by Cambridge University Press:  20 November 2018

Harris S. Shultz
Harris S. Shultz*
Affiliation:
California State College, Fullerton, California
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Let (respectively, ) denote the set of all complex-valued infinitely differentiable functions defined on the reals whose supports are bounded on the left (respectively, right). Under addition and convolution is a commutative algebra.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 14 , Issue 4 , December 1971 , pp. 579 - 581
Copyright
Copyright © Canadian Mathematical Society 1971

References

1. Krabbe, G., Operational calculus, Springer-Verlag, New York, 1970.Google Scholar
2. Liverman, T. P. G., Generalized functions and direct operational methods, Vol. 1, Prentice- Hall, Englewood Cliffs, N.J., 1964.Google Scholar
3. Struble, R., On operators and distributions, Canad. Math. Bull. (1) 11 (1968), 61-64.Google Scholar