Admissible wavelets on the Siegel domain of type one (Q1286704)

The paper discusses an analogue of Calderón reproducing formula in the context of the Siegel domain \(\text{Sp} (n, \mathbb R)/K\), where \(K\) is the maximal compact subgroup of \(\text{Sp} (n, \mathbb R)\). The authors obtain representations of functions in the Hardy space \(H^2\) and decompositions of weighted \(L^2\) spaces. The results of the paper are a continuation of the series of works done earlier by the same authors.