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Analysis on Lie groups
Jacques Faraut
- 01 Jan 2008
57
About: The article was published on 01 Jan 2008. and is currently open access. The article focuses on the topics: Lie group.
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Citations
Gevrey functions and ultradistributions on compact Lie groups and homogeneous spaces
TL;DR: In this article, the authors give global characterisations of Gevrey-Roumieu spaces of ultradifferentiable functions on compact Lie groups in terms of the representation theory of the group and the spectrum of the Laplace-Beltrami operator.
Concentration inequalities and confidence bands for needlet density estimators on compact homogeneous manifolds
TL;DR: In this paper, the authors prove nonasymptotic concentration inequalities for the uniform deviations of the linear needlet density estimator f from an empirical estimate of the needlet projection.
Concentration Inequalities and Confidence Bands for Needlet Density Estimators on Compact Homogeneous Manifolds
TL;DR: In this article, the authors prove nonasymptotic concentration inequalities for the uniform deviations of the linear needlet density estimator from an empirical estimate of the needlet projection.
37
•Posted Content
The Geometry of Spherical Random Fields
TL;DR: In this paper, the authors investigated the geometry of random fields on compact Riemannian manifolds, in particular the two-dimensional sphere, and investigated the high-energy behavior of random eigenfunctions on the hyper)sphere and on the torus proving quantitative CLT results for some geometric functionals of those eiegenfunctions.
32
Rayleigh theorem, projection of orbital measures and spline functions
TL;DR: In this article, the authors considered a random matrix X uniformly distributed on an orbit for the action of the orthogonal group on the space of real symmetric matrices or of the unitary group on a space of Hermitian matrices.
32
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