2 citations · 3 across the 2 of their papers we have counts for
3 papers
math.DG2020★ 1 cited
Harmonic manifolds of hypergeometric type and spherical Fourier transform
Mitsuhito Itoh, Hiroyasu Satoh
The spherical Fourier transform on a harmonic Hadamard manifold of positive volume entropy is studied. If is of hypergeometric type, namely spherical function…
math.DG2018
Harmonic Hadamard manifolds and Gauss hypergeometric differential equations
Mitsuhiro Itoh, Hiroyasu Satoh
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 o…
math.DG2017★ 2 cited
Hessian of Busemann functions and rank of Hadamard manifolds
Mitsuhiro Itoh, Sinwhi Kim, JeongHyeong Park +1
In this article we show that every geodesic is rank one and the Hessian of Busemann functions is positive definite for a harmonic Damek-Ricci space, a two step solvable Lie group w…