A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space II

We show that for certain bounded cylinder functions of the form F(x)=μˆ((h1,x)∼,...,(hn,x)∼), x∈B where μˆ:ℝn→ℂ is the Fourier-transform of the complex-valued Borel measure μ on ℬ(ℝn), the Borel σ-algebra of ℝn with ‖μ‖<∞, the analytic Feynman integral of F exists, although the analytic Feynman i...

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Bibliographic Details
Main Author: Young Sik Kim
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201004537
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