35 citations · 197 across the 84 of their papers we have counts for
101 papers
Orthogonal pairs of Euler elements II: Geometric Bisognano--Wichmann and Spin--Statistics Theorems
Vincenzo Morinelli, Karl-Hermann Neeb, Gestur Olafsson
Models in Algebraic Quantum Field Theory (AQFT) may be generalized including Lie groups of symmetries whose Lie algebras admit an Euler element , characterized by the property t…
The function-operator convolution algebra over the Bergman space of the ball and its Gelfand theory
Vishwa Dewage, Robert Fulsche, Gestur Ólafsson
We investigate the structure of the commutative Banach algebra formed as the direct sum of integrable radial functions on the disc and the radial operators on the Bergman space, en…
Orthogonal pairs of Euler elements I. Classification, fundamental groups and twisted duality
Vincenzo Morinelli, Karl-Hermann Neeb, Gestur Olafsson
The current article continues our project on representation theory, Euler elements, causal homogeneous spaces and Algebraic Quantum Field Theory (AQFT). We call a pair (h,k) of Eul…
Quantum Harmonic Analysis on the Unweighted Bergman Space of the Unit Ball
Matthew Dawson, Vishwa Dewage, Mishko Mitkovski +1
We study quantum harmonic analysis (QHA) on the Bergman space over the unit ball in . We formulate a Wiener's Tauberian theorem, and cha…
Realization of unitary representations of the Lorentz group on de Sitter space
Jan Frahm, Karl-Hermann Neeb, Gestur Olafsson
This paper builds on our previous work in which we showed that, for all connected semisimple linear Lie groups acting on a non-compactly causal symmetric space , every…
The holomorphic discrete series contribution to the generalized Whittaker Plancherel formula II. Non-tube type groups
Jan Frahm, Gestur Ólafsson, Bent Ørsted
For every simple Hermitian Lie group , we consider a certain maximal parabolic subgroup whose unipotent radical is either abelian (if is of tube type) or two-step nilpot…