TAYLOR MAP ON GROUPS ASSOCIATED WITH A II1-FACTOR

DOI10.1142/S0219025702000730zbMath1228.46057MaRDI QIDQ4818888

Maria Gordina

Publication date: 24 September 2004

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Mathematics Subject Classification ID

Applications of stochastic analysis (to PDEs, etc.) (60H30) Analysis on real and complex Lie groups (22E30) Noncommutative probability and statistics (46L53) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

Related Items

Holomorphic functions and subelliptic heat kernels over Lie groups, A subelliptic Taylor isomorphism on infinite-dimensional Heisenberg groups, Holomorphic functions and the Itô chaos, Equivalence of the Brownian and energy representations, The Taylor map on complex path groups, Square integrable holomorphic functions on infinite-dimensional Heisenberg type groups, Hilbert--Schmidt groups as infinite-dimensional Lie groups and their Riemannian geometry

Cites Work

• Tensor algebras over Hilbert spaces. II
• Properties of holomorphic Wiener functions -- skeleton, contraction, and local Taylor expansion
• Holomorphic functions and the heat kernel measure on an infinite dimensional complex orthogonal group
• On the Kakutani-Itô-Segal-Gross and Segal-Bargmann-Hall isomorphisms
• Heat kernel analysis of Cameron-Martin subgroup for infinite dimensional groups
• Existence and uniqueness of physical ground states
• A non-commutative extension of abstract integration