Harmonic Hadamard manifolds and Gauss hypergeometric differential equations

DOI10.4171/PRIMS/55-3-3zbMath1431.53040arXiv1808.00625OpenAlexW2963849402WikidataQ127453460 ScholiaQ127453460MaRDI QIDQ2329640

Hiroyasu Satoh, Mitsuhiro Itoh

Publication date: 18 October 2019

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.00625

zbMATH Keywords

inversion formulaharmonic manifoldspherical Fourier transformhypergeometric type

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Harmonic analysis and spherical functions (43A90)

Related Items (1)

Harmonic manifolds of hypergeometric type and spherical Fourier transform

Cites Work

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• New results on noncompact harmonic manifolds
• Paley-Wiener type theorems on harmonic extensions of \(H\)-type groups
• Harmonic measures and Bowen-Margulis measures
• Riemannian geometry as determined by the volumes of small geodesic balls
• Harmonic analysis on solvable extensions of H-type groups
• A new proof of a Paley-Wiener type theorem for the Jacobi transform
• Spherical functions on a simply connected semisimple Lie groups. II: The Paley-Wiener theorem for the rank one case
• The Lichnerowicz conjecture on harmonic manifolds
• Generalized Heisenberg groups and Damek-Ricci harmonic spaces
• Harmonic manifolds with mimimal horospheres
• Two theorems on harmonic manifolds
• Entropy and rigidity of locally symmetric spaces of strictly negative curvature
• Harmonic manifolds of hypergeometric type and spherical Fourier transform
• Integral geometric properties of non-compact harmonic spaces
• Horospheres and hyperbolicity of Hadamard manifolds
• Paley-Wiener type theorems for a differential operator connected with symmetric spaces
• A survey on noncompact harmonic and asymptotically harmonic manifolds
• HARMONIC HADAMARD MANIFOLDS OF PRESCRIBED RICCI CURVATURE AND VOLUME ENTROPY
• A class of nonsymmetric harmonic Riemannian spaces
• Sur les espaces riemanniens complètement harmoniques
• Riemannian geometry.

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