Admissible and sectorial convergence of generalized Poisson integrals on harmonic NA groups
Article Type
Research Article
Publication Title
Proceedings of the Indian Academy of Sciences Mathematical Sciences
Abstract
We prove a converse of Fatou type result for certain eigenfunctions of the Laplace–Beltrami operator on harmonic NA groups relating sectorial convergence and admissible convergence of Poisson type integrals of complex (signed) measures. This result improves and extends several results of this kind proved earlier in the context of the classical upper half space R+n+1. Similar results are also obtained in the degenerate case of the real hyperbolic spaces.
DOI
10.1007/s12044-025-00836-3
Publication Date
12-1-2025
Recommended Citation
Dewan, Utsav, "Admissible and sectorial convergence of generalized Poisson integrals on harmonic NA groups" (2025). Journal Articles. 5230.
https://digitalcommons.isical.ac.in/journal-articles/5230