Functions in the Fresnel Class
نویسندگان
چکیده
Let H be a separable infinite-dimensional Hubert space over R. The Fresnel class T(H) of H consists of all Fourier-Stieltjes transforms of bounded Borel measures on H. There are several results insuring that various functions of interest in connection with the Feynman integral and quantum mechanics are in 7{H). We give a theorem which has most of these results as corollaries as well as many further corollaries involving the reproducing kernel Hubert spaces of Gaussian stochastic processes.
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