Generalized free Gaussian white noise
Abstract
Based on an adequate new Gel'fand triple, we construct the infinite dimensional free Gaussian white noise measure \(\mu\) using the Bochner-Minlos theorem. Next, we give the chaos decomposition of an \(L^{2}\) space with respect to the measure \(\mu\).
About this article
Keywords
- Chebychev polynomials
- Wigner semicircle distribution
- Fourier transform
- Wigner semicircle white noise
References
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