Generalized free Gaussian white noise

  • Authors

    • Hakeem Othman Head of Department of Mathematics, University College of Al-Qunfudah,Umm Alqura Uniersity, Alkhalidya, Alqunfuhah city, Kingdom of Saudi
    2016-03-27
    https://doi.org/10.14419/ijams.v4i1.5911
  • Chebychev polynomials, Wigner semicircle distribution, Fourier transform, Wigner semicircle 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 \(\mu\).

  • References

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  • How to Cite

    Othman, H. (2016). Generalized free Gaussian white noise. International Journal of Advanced Mathematical Sciences, 4(1), 18-20. https://doi.org/10.14419/ijams.v4i1.5911