Apparaît également dans les collections : Special events, 30 Years of Wavelets, Actions thématiques
Since the last twenty years, Littlewood-Paley analysis and wavelet theory has proved to be a very useful tool for non parametric statistic. This is essentially due to the fact that the regularity spaces (Sobolev and Besov) could be characterized by wavelet coefficients. Then it appeared that that the Euclidian analysis is not always appropriate, and lot of statistical problems have their own geometry. For instance: Wicksell problem and Jacobi Polynomials, Tomography and the harmonic analysis of the ball, the study of the Cosmological Microwave Background and the harmonic analysis of the sphere. In these last years it has been proposed to build a Littlewood-Paley analysis and a wavelet theory associated to the Laplacien of a Riemannian manifold or more generally a positive operator associated to a suitable Dirichlet space with a good behavior of the associated heat kernel. This can help to revisit some classical studies of the regularity of Gaussian field.
Keywords: heat kernel - functional calculus - wavelet - Gaussian process
De Alain Arneodo
De Jean-Claude Risset
De Philipp Grohs
De Holger Rauhut
De Michael Unser
De Claudio Dappiaggi
De Alexander Strohmaier
De Hans Lindblad
De Viviane Pons
De Olivier Benoist
De Viviane Pons
