Function Spaces and Their Operators
A Conference in Honor of Richard Rochberg on the Occasion of his 65th Birthday

Ronald R. Coifman from Yale University; Geometry and Analysis on "point " clouds in R^n, generalized multiscale Analysis and applications; May 30, 2008.

Abstract: We describe extensions of various multiscale methods to naturally ocuring subsets of Euclidean space , in particular we show that diffusion processes induce a natural multiscale analysis . We discuss the Fourier Analysis of such processes and apply it to Machine learning and information extraction in the case the point coordinates represent attributes of digital documents including , music , images medical data etc.