On Exponential Moments for Functionals Defined on the Loop Group
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Publication:4432679
DOI10.1081/SAP-120026109zbMath1044.22013OpenAlexW2054723143MaRDI QIDQ4432679
Samy Tindel, David Márquez-Carreras
Publication date: 28 October 2003
Published in: Stochastic Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1081/sap-120026109
Probability distributions: general theory (60E05) Loop groups and related constructions, group-theoretic treatment (22E67) Lie algebras of Lie groups (22E60) Stochastic calculus of variations and the Malliavin calculus (60H07) Harmonic analysis on general compact groups (43A77)
Cites Work
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- Integration on loop groups. I: Quasi invariant measures
- Analysis of Wiener functionals (Malliavin calculus) and its applications to heat kernels
- Logarithmic Sobolev inequalities on loop groups
- An introduction to analysis on Wiener space
- Some exponential moment inequalities for the Wiener functionals
- Uniqueness of ground states for Schrödinger operators over loop groups
- Paley-Wiener theorems and surjectivity of invariant differential operators on symmetric spaces and Lie groups
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