The projection spectral theorem and Jacobi fields

zbMATH Open1340.47061arXiv1503.05494MaRDI QIDQ3464088

Eugene Lytvynov

Publication date: 20 January 2016

Abstract: We review several applications of Berezansky's projection spectral theorem to Jacobi fields in a symmetric Fock space, which lead to L'evy white noise measures.

Full work available at URL: https://arxiv.org/abs/1503.05494

zbMATH Keywords

Jacobi fieldsprojection spectral theoremwhite noise measures

Mathematics Subject Classification ID

White noise theory (60H40) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Jacobi (tridiagonal) operators (matrices) and generalizations (47B36)

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