On the laplace transform of functionals on classes of infinitely differentiable functions
On the laplace transform of functionals on classes of infinitely differentiable functions
On the Laplace transform of functionals on classes of infinitely differentiable functions By MATS NEYMARKThe purpose of this note is to study funetionals on quasi-analytic and nonquasi-analytic classes of infinitely differentiable functions, equipped with suitable topologies, and in particular to prove theorems of the Payley-Wiener type connecting properties of functionals …