Holomorphic functions and the heat kernel measure on an infinite dimensional complex orthogonal group

DOI10.1023/A:1008626828889zbMath0960.46026OpenAlexW2240668660MaRDI QIDQ1579896

Maria Gordina

Publication date: 14 May 2001

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1008626828889

zbMATH Keywords

embeddingLie algebraTaylor expansionHaar measureHilbert-Schmidt operatorsheat kernel measureinfinite-dimensional groupCameron-Martin subspaceHilbert spaces of holomorphic functionsHilbert-Schmidt orthogonal groupholomorphic functions on an infinite-dimensional groupspace of the holomorphic polynomials

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Analysis on real and complex Lie groups (22E30) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Lie algebras of Lie groups (22E60) (Spaces of) multilinear mappings, polynomials (46G25) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50)

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