Plane wave decomposition of even-dimensional Brownian local times

DOI10.1006/jfan.2000.3566zbMath0951.60062OpenAlexW1985925635MaRDI QIDQ1572906

Hideaki Uemura

Publication date: 13 December 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3566

zbMATH Keywords

Hilbert transformWiener-Itô decompositionplane wave decompositionBrownian local times

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Brownian motion (60J65)

Related Items (1)

Generalized positive continuous additive functionals of multidimensional Brownian motion and their associated Revuz measures

Cites Work

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• Joint continuity and representations of additive functionals of d- dimensional Brownian motion
• The Radon transform
• The asymptotic behaviour of local times and occupation integrals of the \(N\)-parameter Wiener process in \(\mathbb{R}^ d\)
• On some limit theorems for occupation times of one dimensional Brownian motion and its continuous additive functionals locally of zero energy
• Plane wave decomposition of odd-dimensional Brownian local times
• Complements on the Hilbert transform and the fractional derivative of Brownian local times
• Representations of continuous additive functionals of zero energy via convolution type transforms of brownian local times and the radon transform

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