The complex crown for homogeneous harmonic spaces

DOI10.1090/S0002-9947-2011-05571-6zbMath1251.22006arXiv1004.4085MaRDI QIDQ5389425

Roberto Camporesi, Bernhard Krötz

Publication date: 26 April 2012

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4085

zbMATH Keywords

holomorphic extensionLaplace-Beltrami operatorharmonic Riemannian spaces

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Semisimple Lie groups and their representations (22E46) Nilpotent and solvable Lie groups (22E25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Holomorphic extension of eigenfunctions
• Analysis on the crown domain
• Harmonic analysis on solvable extensions of H-type groups
• An approach to symmetric spaces of rank one via groups of Heisenberg type
• \(H\)-type groups and Iwasawa decompositions
• On harmonic and asymptotically harmonic homogeneous spaces
• Holomorphic extensions of representations. II: Geometry and harmonic analysis
• A Poisson kernel on Heisenberg type nilpotent groups
• A class of nonsymmetric harmonic Riemannian spaces
• Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms

This page was built for publication: The complex crown for homogeneous harmonic spaces