Open Access

# The projection spectral theorem and Jacobi fields

### 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.

Key words: Free L´evy white noise, Gaussian measure, Jacobi field, L´evy white noise, Poisson measure, projection spectral theorem

### Article Information

 Title The projection spectral theorem and Jacobi fields Source Methods Funct. Anal. Topology, Vol. 21 (2015), no. 2, 188–198 MathSciNet 3407910 zbMATH 06533476 Milestones Received 09/01/2015 Copyright The Author(s) 2015 (CC BY-SA)

### Authors Information

Eugene Lytvynov
Department of Mathematics, Swansea University, Singleton Park, Swansea SA2 8PP, U.K.

### Citation Example

Eugene Lytvynov, The projection spectral theorem and Jacobi fields, Methods Funct. Anal. Topology 21 (2015), no. 2, 188–198.

### BibTex

@article {MFAT769,
AUTHOR = {Lytvynov, Eugene},
TITLE = {The projection spectral theorem and Jacobi fields},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {21},
YEAR = {2015},
NUMBER = {2},
PAGES = {188–198},
ISSN = {1029-3531},
MRNUMBER = {3407910},
ZBLNUMBER = {06533476},
URL = {http://mfat.imath.kiev.ua/article/?id=769},
}

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