Equivalence of the Brownian and energy representations

DOI10.1007/s10958-016-3134-1zbMath1360.22026arXiv1511.07378OpenAlexW2962947084MaRDI QIDQ503986

Maria Gordina, Bruce K. Driver, Sergio A. Albeverio, Anatoly M. Vershik

Publication date: 24 January 2017

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.07378

zbMATH Keywords

Wiener measurequasi-invarianceWiener spacestochastic analysiscyclic vectorBrownian representationsenergy representationFourier-Wiener transformpaths group

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Analysis on real and complex Lie groups (22E30) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Diffusion processes and stochastic analysis on manifolds (58J65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (5)

Generalized positive energy representations of groups of jets ⋮ Strong uniqueness for Dirichlet operators related to stochastic quantization under exponential/trigonometric interactions on the two-dimensional torus ⋮ Reflection positive stochastic processes indexed by Lie groups ⋮ Duality and free measures in vector spaces, the spectral theory of actions of non-locally compact groups ⋮ The elliptic stochastic quantization of some two dimensional Euclidean QFTs

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