194 citations · 477 across the 24 of their papers we have counts for
3 papers · 1 filter
Heat kernel based decomposition of spaces of distributions in the framework of Dirichlet spaces
Gerard Kerkyacharian, Pencho Petrushev
Classical and non classical Besov and Triebel-Lizorkin spaces with complete range of indices are developed in the general setting of Dirichlet space with a doubling measure and loc…
Heat kernel generated frames in the setting of Dirichlet spaces
Thierry Coulhon, Gerard Kerkyacharian, Pencho Petrushev
Wavelet bases and frames consisting of band limited functions of nearly exponential localization on Rd are a powerful tool in harmonic analysis by making various spaces of function…
Thomas Bayes' walk on manifolds
Ismael Castillo, Gerard Kerkyacharian, Dominique Picard
Convergence of the Bayes posterior measure is considered in canonical statistical settings where observations sit on a geometrical object such as a compact manifold, or more genera…