Fatou Theorems for Eigenfunctions of the Invariant Differential Operators on Symmetric Spaces

DOI10.2307/1996595zbMath0225.31002OpenAlexW4252606047MaRDI QIDQ5631413

H. Lee Michelson

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/1996595

Mathematics Subject Classification ID

Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (11)

Characterization of the Poisson integrals for the non-tube bounded symmetric domains ⋮ Fractional Laplacians and extension problems: The higher rank case ⋮ Polyharmonic potential theory on the Poincaré disk ⋮ Fatou theorem and its converse for positive eigenfunctions of the Laplace-Beltrami operator on harmonic \textit{NA} groups ⋮ On the Boundary Behaviour of Generalized Poisson Integrals on Symmetric Spaces ⋮ A theorem à la Fatou for the square root of Poisson kernel in \(\delta\)-hyperbolic spaces and decay of matrix coefficients of boundary representations ⋮ Characterization of almost 𝐿^{𝑝}-eigenfunctions of the Laplace-Beltrami operator ⋮ Characterization of the Lp-range of the Poisson transform on the Octonionic Hyperbolic Plane ⋮ Some function spaces on symmetric spaces related to convolution operators ⋮ Unnamed Item ⋮ A Fatou theorem for eigenfunctions of the Laplace-Beltrami operator in a symmetric space

Cites Work

• Unnamed Item
• Unnamed Item
• Fatou's theorem for symmetric spaces. I
• A duality for symmetric spaces with applications to group representations
• Poisson integrals and semisimple groups
• Spherical Functions on a Semisimple Lie Group, I
• Dual Trigonometrical Series
• A Fatou-type theorem for harmonic functions on symmetric spaces
• Translation-invariant cones of functions on semi-simple lie groups

This page was built for publication: Fatou Theorems for Eigenfunctions of the Invariant Differential Operators on Symmetric Spaces