5 citations · 9 across the 3 of their papers we have counts for
6 papers
On the characterization of trace class representations and Schwartz operators
Gerrit van Dijk, Karl-Hermann Neeb, Hadi Salmasian +1
In this note we collect several characterizations of unitary representations of a finite dimensional Lie group which are trace class, i.e., for each compactl…
On the existence of regular vectors
Christoph Zellner
Let be a locally convex Lie group and be a continuous unitary representation. is called smooth if the space of -smooth vectors $\mathca…
Complex Semigroups for Oscillator Groups
Christoph Zellner
An oscillator group is a semidirect product of a Heisenberg group with a one-parameter group. In this article we construct Olshanski semigroups for infinite-dimensional oscilla…
Smoothing operators and -algebras for infinite dimensional Lie groups
Karl-Hermann Neeb, Hadi Salmasian, Christoph Zellner
A host algebra of a (possibly infinite dimensional) Lie group is a -algebra whose representations are in one-to-one correspondence with certain continuous unitary represen…
On an invariance property of the space of smooth vectors
Karl-Hermann Neeb, Hadi Salmasian, Christoph Zellner
Let be a continuous unitary representation of the (infinite dimensional) Lie group and define a continuous action of $\mat…
Oscillator algebras with semi-equicontinuous coadjoint orbits
Karl-Hermann Neeb, Christoph Zellner
A unitary representation of a, possibly infinite dimensional, Lie group G is called semi-bounded if the corresponding operators idπ(x) from the derived representations are uniforml…