Daniel Beltita

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.