Boundary Behavior of Harmonic Forms on a Rank One Symmetric Space

DOI10.2307/1997909zbMath0375.43005OpenAlexW4248509241MaRDI QIDQ4155280

Robert Byrne Putz, Aroldo G. Kaplan

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997909

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Harmonic analysis on homogeneous spaces (43A85) Differential geometry of symmetric spaces (53C35)

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Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms ⋮ Feeling the heat in a group of Heisenberg type ⋮ Un théorème de Paley-Wiener pour la transformation de Fourier sur un espace riemannien symétrique de rang un ⋮ A Tangential Convergence for Bounded Harmonic Functions on a Rank one Symmetric Space ⋮ Subadditivity of Homogeneous Norms on Certain Nilpotent Lie Groups ⋮ A Tauberian theorem and tangential convergence for bounded harmonic functions on balls in \(\mathbb{C}^n\) ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds

Cites Work

• On the theory of harmonic functions of several variables
• Hypoelliptic second order differential equations
• A duality for symmetric spaces with applications to group representations
• Invariant systems of conjugate harmonic functions associated with compact Lie groups
• A fundamental solution for a subelliptic operator
• Singular integrals and estimates for the Cauchy-Riemann equations

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