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Is there a Gaussian process for the solutions of the wave equation?

Call a Gaussian process $g$ a prior for a topological space $X$ if the realizations of $g$ are (a.s.) contained in $X$ and dense. Consider the 1D wave equation $\frac{\partial^2}{\partial t^2}u(t,x)=...
4 votes
1 answer
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Path integrals for stochastic equations

Does there exist a rigorous mathematical proof for path integral representations given in the physics literature? See for example http://arxiv.org/abs/hep-ph/9912209v1 For imaginary time rigorous ...