Though frequently and commonly applied to discrete-time processes, the discrete wavelet transform is de"ned only for, and should therefore strictly speaking be applied only to, continuous-time processes. We provide a method for applying it to intrinsically discrete data, in such a way that the spectrum of discrete second-order processes can be meaningfully studied. The practical step required i...

This paper summarizes the derivation of an explicit and global formula for the character of any holomorphic discrete series representation of a reductive Lie group G which satisfies certain conditions. The only very restrictive condition is that G/K be a Hermitian symmetric space. (Here K is the maximal compact subgroup of G.).