Spectral approach to white noise analysis

DOI10.1007/BF01062234zbMath0843.47012MaRDI QIDQ1899483

V. O. Livinskij, E. M. Litvinov, Yurij M. Berezansky

Publication date: 2 November 1995

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Gaussian white noiseFourier transformationfamily of field operatorsgeneralized joint eigenvectorsSegal transformationspectral projection theorem

Mathematics Subject Classification ID

Brownian motion (60J65) Spectrum, resolvent (47A10) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

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• The spaces of trial and generalized functions of infinite number of variables
• Calculus on Gaussian white noise. I
• A characterization of Hida distributions
• DIRICHLET FORMS IN TERMS OF WHITE NOISE ANALYSIS I: CONSTRUCTION AND QFT EXAMPLES
• DIRICHLET FORMS IN TERMS OF WHITE NOISE ANALYSIS II: CLOSABILITY AND DIFFUSION PROCESSES

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