Coorbit spaces with voice in a Fréchet space (Q515867)

Coorbit space theory was originally introduced by H. Feichtinger and K. Gröchenig in a series of papers in 1988--1989. The authors of the article under review elaborate a new coorbit space theory for reproducing representations of a locally compact second countable group \(G\) that are not necessarily irreducible nor integrable. Their theory is successful in the sense that it provides a substitute for the classical integrability condition, it contains the classical coorbit space theory even for non irreducible representations.