Harmonic Hadamard Manifolds and Gauss Hypergeometric Differential Equations
| Autor: | Hiroyasu Satoh, Mitsuhiro Itoh |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Mathematics - Differential Geometry
Pure mathematics Differential equation General Mathematics Gauss Mathematics::Classical Analysis and ODEs Hadamard manifold Harmonic (mathematics) Type (model theory) 53C21 43A90 42B10 Inversion (discrete mathematics) Hypergeometric distribution Differential Geometry (math.DG) Hadamard transform FOS: Mathematics Computer Science::Symbolic Computation Mathematics |
| Zdroj: | Publications of the Research Institute for Mathematical Sciences. 55:531-564 |
| ISSN: | 0034-5318 |
| Popis: | A new class of harmonic Hadamard manifolds, those spaces called of hypergeometric type, is defined in terms of Gauss hypergeometric equations. Spherical Fourier transform defined on a harmonic Hadamard manifold of hypergeometric type admits an inversion formula. A characterization of harmonic Hadamard manifold being of hypergeometric type is obtained with respect to volume density. Comment: 33 pages. To appear in Publications of the Research Institute for Mathematical Sciences (Publ.RIMS) |
| Databáze: | OpenAIRE |
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