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Generalized free Gaussian white noise
- Abstract
- Keywords
- References
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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 \(\mu\).
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Keywords
Chebychev polynomials; Wigner semicircle distribution; Fourier transform; Wigner semicircle white noise
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References
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