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math.AP2026
Symbol calculus for semiclassical Gevrey operators
Haoren Xiong
We construct a Banach algebra of Gevrey asymptotic symbols that is stable under the semiclassical quantization product and elliptic inversion (microlocal parametrix), and derive sh…
math.AP2024★ 1 cited
Asymptotic expansions for semilinear waves on asymptotically flat spacetimes
Sam Looi, Haoren Xiong
We establish precise asymptotic expansions for solutions to semilinear wave equations with power-type nonlinearities on asymptotically flat spacetimes. Our analysis focuses on two…
math.AP2024
Semiclassical asymptotics for Bergman projections with Gevrey weights
Haoren Xiong, Hang Xu
We extend the direct approach to the semiclassical asymptotics for Bergman projections, developed by Deleporte--Hitrik--Sjöstrand for real analytic exponential weights and Hitrik--…