Generalized Brownian functionals and the Feynman integral (Q1064609)

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scientific article; zbMATH DE number 3919460
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Generalized Brownian functionals and the Feynman integral
scientific article; zbMATH DE number 3919460

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    Generalized Brownian functionals and the Feynman integral (English)
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    1984
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    To obtain a sufficiently rich class of nonlinear functionals of white noise, resp. the Wiener process, we study riggings of the \(L^ 2\) space with the white noise measure. Particular examples are local functionals such as e.g. the 'square of white noise' and its exponential with applications in the theory of Feynman integral.
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    quantum mechanics
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    semiclassical approximation
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    nonlinear functionals of white noise
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    Feynman integral
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