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

Nemzer, Dennis

Bull. Korean Math. Soc. 44, No. 3, 419-428 (2007).

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

Keywords:

infinitesimal generator; one-parameter group; periodic Boehmian