Functions in the Fresnel Class

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Functions in the Fresnel Class

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 fur...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1987

ISSN: 0002-9939

DOI: 10.2307/2045963