3 papers
math.AP2026
Higher-Order Heat Estimates and Semilinear Heat Equations on the Noncommutative Torus
Fulin Yang, Zhipeng Yang
We establish sharp higher-order heat estimates with complete bound on the noncommutative tori \(\mathbb{T}_θ^{n}\) and show the optimality in the small-time order. As an applicati…
math.FA2025
Singular value asymptotics on compact smooth Riemaniann manifolds
Fedor Sukochev, Fulin Yang, Dmitriy Zanin
Let be a -dimensional compact smooth Riemannian manifold equipped with Laplace-Beltrami operator , and let be the -algebra obtained by locally…
math.OA2024
A -Algebraic Approach To Principal Symbol Calculus On Filtered Manifolds
David Farrell, Fedor Sukochev, Fulin Yang +1
From the viewpoint of -homomorphism on -algebras, we establish the principal symbol mapping for filtered manifolds which are locally isomorphic to stratified Lie groups.…