Transactions of the American Mathematical Society, Vol. 366, No. 6 (JUNE 2014), pp. 3275-3293 (19 pages) Inversion theorems of Wiener type are essential tools in analysis and number theory. We derive ...

Let B be a real separable Banach space, and let μ be a probability measure on $\scr{B}(B)$, the Borel sets of B. The characteristic functional (Fourier transform) ϕ ...