A Fatou-type theorem for harmonic functions on symmetric spaces

DOI10.1090/S0002-9904-1968-11912-3zbMath0153.42902OpenAlexW2041688816WikidataQ56593875 ScholiaQ56593875MaRDI QIDQ5534520

Adam Korányi, Sigurdur Helgason

Publication date: 1968

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1968-11912-3

zbMATH Keywords

partial differential equations

Related Items

Fractional Laplacians and extension problems: The higher rank case, Convergence of Poisson Integrals on Generalized Upper Half-Planes, Harmonic analysis on reductive Lie groups, Fatou Theorems for Eigenfunctions of the Invariant Differential Operators on Symmetric Spaces, On the Boundary Behaviour of Generalized Poisson Integrals on Symmetric Spaces, Poisson integrals and boundary components of symmetric spaces, Remarks on a theorem of Koranyi and Malliavin on the Siegel upper half plane of rank two, Fatou's theorem for symmetric spaces, Poisson integrals and semisimple groups, Generalized notions of harmonic functions symmetric spaces, Boundary behavior of harmonic functions on symmetric spaces: maximal estimates for Poisson integrals, Almost everywhere convergence of Poisson integrals on generalized half-planes

Cites Work

• Pointwise limits for sequences of convolution operators
• A Poisson formula for semi-simple Lie groups
• Spherical Functions on a Semisimple Lie Group, I
• Compactifications of Symmetric Spaces