Zobrazeno 1 - 10
of 264
pro vyhledávání: '"Ólafsson, Gestur"'
We study quantum harmonic analysis (QHA) on the Bergman space $\mathcal{A}^2(\mathbb{B}^n)$ over the unit ball in $\mathbb{C}^n$. We formulate a Wiener's Tauberian theorem, and characterizations of the radial Toeplitz algebra over $\mathcal{A}^2(\mat
Externí odkaz:
http://arxiv.org/abs/2410.23110
This paper builds on our previous work in which we showed that, for all connected semisimple linear Lie groups $G$ acting on a non-compactly causal symmetric space $M = G/H$, every irreducible unitary representation of $G$ can be realized by boundary
Externí odkaz:
http://arxiv.org/abs/2401.17140
For every simple Hermitian Lie group $G$, we consider a certain maximal parabolic subgroup whose unipotent radical $N$ is either abelian (if $G$ is of tube type) or two-step nilpotent (if $G$ is of non-tube type). By the generalized Whittaker Planche
Externí odkaz:
http://arxiv.org/abs/2401.06427
Autor:
Olafsson, Gestur, Sitiraju, Iswarya
In this work we determine the wavefront set of certain eigendistributions of the Laplace-Beltrami operator on the de Sitter space. Let G = SO_{1,n}(R)_e be the connected component of identity of Lorentz group and let H = SO_{1,n-1}(R)_e, a subset G.
Externí odkaz:
http://arxiv.org/abs/2309.10685
Autor:
Bdarneh, Khalid, Ólafsson, Gestur
We consider the Toeplitz operators on the weighted Bergman spaces over the unit ball $\mathbb{B}^n$ and their analytic continuation. We proved the commutativity of the $C^*-$algebras generated by the analytic continuation of Toeplitz operators with a
Externí odkaz:
http://arxiv.org/abs/2309.02152
We continue our investigation of the interplay between causal structures on symmetric spaces and geometric aspects of Algebraic Quantum Field Theory. We adopt the perspective that the geometric implementation of the modular group is given by the flow
Externí odkaz:
http://arxiv.org/abs/2307.00798
In this paper we review and derive hyperbolic and trigonometric double summation addition theorems for Jacobi functions of the first and second kind. In connection with these addition theorems, we perform a full analysis of the relation between symme
Externí odkaz:
http://arxiv.org/abs/2306.03035
Let G be a connected simple linear Lie group and H in G a symmetric subgroup such that the corresponding symmetric space G/H is non-compactly causal. We show that any irreducible unitary representation of G leads naturally to a net of standard subspa
Externí odkaz:
http://arxiv.org/abs/2303.10065
Mixed Reality (MR) is an emerging paradigm in industry. While MR equipment and software have taken great technological strides in past years, standardized methods and workflows for developing MR systems for industry have not been widely adopted for m
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-320109
Autor:
Neeb, Karl-Hermann, Olafsson, Gestur
In this article we review our recent work on the causal structure of symmetric spaces and related geometric aspects of Algebraic Quantum Field Theory. Motivated by some general results on modular groups related to nets of von Neumann algebras,we focu
Externí odkaz:
http://arxiv.org/abs/2210.01299