Dynamics of -Multiplier for on Harmonic Manifolds of Purely Exponential Volume Growth

O Brammen - arXiv preprint arXiv:2308.05427, 2023 - arxiv.org
We study the dynamics of $ L^ p $-multipliers on non-compact simply connected harmonic
manifolds of purely exponential volume growth. These are linear operators on the $ L^ p …

[PDF][PDF] Dynamics of multipliers on harmonic manifolds

K Biswas, RP Sarkar - Electronic Research Archive, 2022 - aimspress.com
Let X be a complete, simply connected harmonic manifold of purely exponential volume
growth. This class contains all non-flat harmonic manifolds of nonpositive curvature, and in …

Dynamics of multipliers on harmonic manifolds

K Biswas, RP Sarkar - arXiv preprint arXiv:1805.10779, 2018 - arxiv.org
Let $ X $ be a complete, simply connected harmonic manifold with sectional curvatures $ K
$ satisfying $ K\leq-1$. In\cite {biswas6}, a Fourier transform was defined for functions on $ X …

Analogs of certain quasi-analiticity results on Riemannian symmetric spaces of noncompact type

M Bhowmik, S Pusti, SK Ray - arXiv preprint arXiv:1901.03196, 2019 - arxiv.org
An $ L^ 2$ version of the celebrated Denjoy-Carleman theorem regarding quasi-analytic
functions was proved by Chernoff\cite {CR} on $\mathbb R^ d $ using iterates of the …