|XXIX Workshop on Geometric Methods in Physics||27.06-03.07.2010|
Wavelet transforms on some infinite-dimensional Lie groups
Wavelet transforms and reproducing kernels are discussed
within the framework of representation theory for infinite-dimensional Lie groups. The general considerations are illustrated by examples emerging from the genuinely geometric theory of operator algebras and from some recent generalizations of the pseudo-differential Weyl calculus.
The talk is partly based on joint work with Ingrid Beltita and with Jose Gale.