Poisson transform and unipotent complex geometry

DOI10.1016/j.jfa.2024.110742MaRDI QIDQ6658231

Luz Roncal, Sundaram Thangavelu, Bernhard Krötz, Heiko Gimperlein

Publication date: 8 January 2025

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

Bergman spacessemisimple Lie groupsharmonic analysisPoisson transform

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Complex Lie groups, group actions on complex spaces (32M05) Bergman spaces of functions in several complex variables (32A36)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A characterization of the \(L^{2}\)-range of the Poisson transform related to Strichartz conjecture on symmetric spaces of noncompact type
• Bounds for ratios of modified Bessel functions and associated Turán-type inequalities
• Holomorphic extension of eigenfunctions
• Analysis on the crown domain
• Eigenfunctions of invariant differential operators on a symmetric space
• On the Poisson transform on symmetric spaces of real rank one
• On Stein extensions of real symmetric spaces
• Some remarks on complex crowns of Riemannian symmetric spaces
• Holomorphic extensions of representations. I: Automorphic functions
• A Paley-Wiener theorem for Harish-Chandra modules
• A duality for symmetric spaces with applications to group representations
• The complex crown for homogeneous harmonic spaces
• An Extension Problem Related to the Fractional Laplacian
• On the existence and irreducibility of certain series of representations

This page was built for publication: Poisson transform and unipotent complex geometry