Generalized free Gaussian white noise


  • Hakeem Othman Head of Department of Mathematics, University College of Al-Qunfudah,Umm Alqura Uniersity, Alkhalidya, Alqunfuhah city, Kingdom of Saudi





Chebychev polynomials, Wigner semicircle distribution, Fourier transform, Wigner semicircle white noise


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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