Poisson integrals and boundary components of symmetric spaces

DOI10.1007/BF01418969zbMath0328.22017MaRDI QIDQ1226607

Adam Korányi

Publication date: 1976

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142386

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (5)

Dixmier trace for Toeplitz operators on symmetric domains ⋮ Fractional Laplacians and extension problems: The higher rank case ⋮ On the Boundary Behaviour of Generalized Poisson Integrals on Symmetric Spaces ⋮ Fatou theorems on domains in 𝐂ⁿ ⋮ Generalized notions of harmonic functions symmetric spaces

Cites Work

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• On representations and compactifications of symmetric Riemannian spaces
• A Poisson formula for semi-simple Lie groups
• A Fatou-type theorem for harmonic functions on symmetric spaces
• Compactifications of Symmetric Spaces
• On the Convergence of Poisson Integrals
• H² spaces of generalized half-planes

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