Realization of Virasoro unitarizing measures on the set of Jordan curves.

DOI10.1016/S1631-073X(03)00085-2zbMath1040.58015OpenAlexW2092166402MaRDI QIDQ1408104

Hélène Airault, Vladimir I. Bogachev

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(03)00085-2

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Diffusion processes and stochastic analysis on manifolds (58J65) Stochastic analysis (60H99)

Related Items (5)

Canonical Brownian motion on the space of univalent functions and resolution of Beltrami equations by a continuity method along stochastic flows ⋮ Riemannian geometry of \(\text{Diff}(S^{1})/S^{1}\) ⋮ Quasi-invariance of Brownian measures on the group of circle homeomorphisms and infinite-dimensional Riemannian geometry ⋮ Brownian measures on Jordan-Virasoro curves associated to the Weil-Petersson metric ⋮ Affine coordinates and Virasoro unitarizing measures.

Cites Work

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• Geometric approach to discrete series of unirreps for Vir
• Differentiable measures and the Malliavin calculus
• Unitarizing measure: The Heisenberg algebra, the Virasoro algebra
• Unitarizing probability measures for representations of Virasoro algebra
• An algebra of diffential operators and generating functions on the set of univalent functions
• Support of Virasoro unitarizing measures.
• HOLOMORPHIC EXTENSIONS OF REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS OF THE CIRCLE

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