RENORMALIZED LAPLACIANS ON A CLASS OF HILBERT MANIFOLDS AND A BOCHNER–WEITZENBÖCK TYPE FORMULA FOR CURRENT GROUPS
DOI10.1142/S0219025700000054zbMath1032.58019OpenAlexW1976518426WikidataQ126091268 ScholiaQ126091268MaRDI QIDQ4430259
Yana I. Belopolskaya, Marc Arnaudon, Sylvie Paycha
Publication date: 16 December 2003
Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219025700000054
Hilbert manifoldscurrent groupsBochner-Weitzenböck type formulaweighted LaplaciansLévy-type Laplaciansrenormalized Laplacians
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Diffusion processes and stochastic analysis on manifolds (58J65) Continuous and differentiable maps in nonlinear functional analysis (46T20) PDEs on infinite-dimensional (e.g., function) spaces (= PDEs in infinitely many variables) (35R15)
Related Items (3)
Cites Work
- Gravity coupled with matter and the foundation of non-commutative geometry
- Local invariants of spectral asymmetry
- Determinants of Cauchy-Riemann operators on a Riemann surface
- The analysis of elliptic families. I: Metrics and connections on determinant bundles
- The action functional in non-commutative geometry
- Lévy Laplacian of generalized functions on a nuclear space
- The spectrum of positive elliptic operators and periodic bicharacteristics
- Regularisable and minimal orbits for group actions in infinite dimensions
- On the noncommutative residue for pseudodifferential operators with log-polyhomogeneous symbols
- Stochastic tools on Hilbert manifolds: Interplay with geometry and physics
- Lévy Laplacian and Brownian particles in Hilbert spaces
- Logarithmic Sobolev inequalities for pinned loop groups
- Potential theory on Hilbert space
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