3 papers
math.SP2024
Boundary spectral estimates for semiclassical Gevrey operators
Haoren Xiong
We obtain the spectral and resolvent estimates for semiclassical pseudodifferential operators with symbol of Gevrey- regularity, near the boundary of the range of the principal…
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--…
math.FA2023
Boundedness of metaplectic Toeplitz operators and Weyl symbols
Haoren Xiong
We study Toeplitz operators on the Bargmann space, whose Toeplitz symbols are exponentials of complex inhomogeneous quadratic polynomials. Extending a result by Coburn--Hitrik--Sjö…