One-parameter groups of Boehmians

다국어 초록 (Multilingual Abstract)

The space of periodic Boehmians with {convergence is acomplete topological algebra which is not locally convex. A family ofBoehmians fT g such that T0 is the identity and T 1 + 2 = T 1 T 2 forall real numbers 1 and 2 is called a one-parameter group of Boehmians.We show that if fT g is strongly continuous at zero, thenfT g has anexponential representation. We also obtain some results concerning theinnitesimal generator for fT g.

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