Kisil V.V.
Wavelets in Banach Spaces
(47K, LATeX 2e)
ABSTRACT. We describe a construction of wavelets
(coherent states) in Banach spaces generated by
``admissible'' group representations. Our main
targets are applications in pure mathematics while
connections with quantum mechanics are mentioned.
As an example we consider operator valued
Segal-Bargmann type spaces and the Weyl
functional calculus.