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pro vyhledávání: '"Job, J."'
In this article we give an overview of the Plancherel theory for Riemannian symmetric spaces Z = G/K. In particular we illustrate recently developed methods in Plancherel theory for real spherical spaces by explicating them for Riemannian symmetric s
Externí odkaz:
http://arxiv.org/abs/2409.08113
In this paper we give an overview on $L^p$-factorizations of Lie group representations and introduce the notion of smooth $L^p$-factorization.
Comment: This article is dedicated to the fond memories of Gerrit van Dijk
Comment: This article is dedicated to the fond memories of Gerrit van Dijk
Externí odkaz:
http://arxiv.org/abs/2311.18591
Autor:
Kuit, Job J., Sayag, Eitan
In this article we give a precise description of the Plancherel decomposition of the most continuous part of $L^{2}(Z)$ for a real spherical homogeneous space $Z$. Our starting point is the recent construction of Bernstein morphisms by Delorme, Knop,
Externí odkaz:
http://arxiv.org/abs/2202.02119
Autor:
Aksu, Muhammed D., van der Ent, Tijmen, Zhang, Zhenhua, Riza, Anca L., de Nooijer, Aline H., Ricaño-Ponce, Isis, Janssen, Nico, Engel, Job J., Streata, Ioana, Dijkstra, Helga, Lemmers, Heidi, Grondman, Inge, Koeken, Valerie A.C.M., Antoniadou, Eleni, Antonakos, Nikolaos, van de Veerdonk, Frank L., Li, Yang, Giamarellos-Bourboulis, Evangelos J., Netea, Mihai G., Ziogas, Athanasios
Publikováno v:
In Journal of Infection December 2024 89(6)
We give an example of a semisimple symmetric space $G/H$ and an irreducible representation of $G$ which has multiplicity 1 in $L^2(G/H)$ and multiplicity 2 in $C^\infty(G/H)$.
Externí odkaz:
http://arxiv.org/abs/2103.08296
Publikováno v:
In Indagationes Mathematicae July 2024
Publikováno v:
Cambridge Journal of Mathematics 10 (2022), 689-742
We formulate and prove a Paley-Wiener theorem for Harish-Chandra modules for a real reductive group. As a corollary we obtain a new and elementary proof of the Helgason conjecture.
Comment: Submitted version; with two appendices on the Helgason
Comment: Submitted version; with two appendices on the Helgason
Externí odkaz:
http://arxiv.org/abs/2010.04464
We explain by elementary means why the existence of a discrete series representation of a real reductive group $G$ implies the existence of a compact Cartan subgroup of $G$. The presented approach has the potential to generalize to real spherical spa
Externí odkaz:
http://arxiv.org/abs/2007.15312
Autor:
Kuit, Job J., Sayag, Eitan
In the present paper we further the study of the compression cone of a real spherical homogeneous space $Z=G/H$. In particular we provide a geometric construction of the little Weyl group of $Z$ introduced recently by Knop and Kr\"otz. Our technique
Externí odkaz:
http://arxiv.org/abs/2006.03516
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