Hidden subspace algorithm in white noise analysis

Becnel, Jeremy

doi:10.1090/S0002-9947-2012-05661-3

Hidden subspace algorithm in white noise analysis
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by Jeremy J. Becnel PDF

Trans. Amer. Math. Soc. 364 (2012), 5035-5055 Request permission

Abstract:

In 2003, Professors Lomonaco and Kauffman developed an algorithm to find a hidden subspace of a functional. The algorithm was developed in the spirit of Feynman path integrals but lacked mathematical rigor. In this paper we make use of the framework of the White Noise Distribution Theory to supply the appropriate mathematical machinery to make the algorithm rigorous. In the process we construct a Gaussian measure for affine subspaces of a Hilbert space and develop a decomposition theorem for these measures.

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