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One-parameter groups of Boehmians. (English) Zbl 1144.46038

The author shows that if a one-parameter groups \(\{T_\lambda\}\) of periodic Boehmians with convolution is strongly continuous at zero, then \(\{T_\lambda\}\) has an exponential representation. Also, he gives sufficient conditions for a periodic Boehmian to be the infinitesimal generator.
Reviewer: Dohan Kim (Seoul)

MSC:

46F99 Distributions, generalized functions, distribution spaces
47D03 Groups and semigroups of linear operators
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