Hostname: page-component-7479d7b7d-8zxtt Total loading time: 0 Render date: 2024-07-10T11:10:52.514Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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