Multiplication of Operators by C ∞ Functions
Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 579-581

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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.
Shultz, Harris S. Multiplication of Operators by C ∞ Functions. Canadian mathematical bulletin, Tome 14 (1971) no. 4, pp. 579-581. doi: 10.4153/CMB-1971-106-2
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[2] 2. Liverman, T. P. G., Generalized functions and direct operational methods, Vol. 1, Prentice- Hall, Englewood Cliffs, N.J., 1964. Google Scholar

[3] 3. Struble, R., On operators and distributions, Canad. Math. Bull. (1) 11 (1968), 61-64. Google Scholar

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