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In this article we characterize ultradifferentiable functions by its almost analytic extensions. We use these extensions in order to show how growth properties of a holomorphic function f determine the classes of ultradistributions which contain the boundary value Tf. Thus we give simplified and generalized proofs of results The results are applied in Sect. 3, to get the characterization of ultradifferentiable functions announced above. Following BjSrck [1] ~0 is called ultradifferentiable if I} q~ 1[ 4,o < oe for every 2 > 0. However, the analysis of Sect. 2, gives rise to a finer subdivision of these classes than those considered by Bj6rck. The characterization is also used to show that the spaces of ultradifferentiable functions are invariant under composition with holomorphic functions.

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