18 citations · 19 across the 4 of their papers we have counts for
4 papers
Note on Trace Class Groups
Gerrit van Dijk
A Lie group G is called a trace class group if for every irreducible unitary representation R of G and every C-infinity function f with compact support the operator R(f) is of trac…
Trace class groups: the case of semi-direct products
Gerrit van Dijk
In this paper we continue the study of groups of trace class and consider in particular the case of semi-direct products. One of the highlights is the theorem saying that the semi-…
-algebras and quantization of para-Hermitian spaces
Gerrit van Dijk, Michael Pevzner
In the present note we describe a family of -algebra structures on the set of square integrable functions on a rank-one para-Hermitian symmetric space .
Ring structures for holomorphic discrete series and Rankin-Cohen brackets
Gerrit van Dijk, Michael Pevzner
In the present note we discuss two different ring structures on the set of holomorphic discrete series of a causal symmetric space of Cayley type and we suggest a new interpr…