4 citations · 11 across the 6 of their papers we have counts for
6 papers
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…
Complex Higgs Oscillators
Haoren Xiong
In this note we discuss the complex version of the Higgs oscillator on the hyperbolic space. The eigenvalues and resonances of the complex Higgs oscillator are computed in differen…
Generic simplicity of resonances in obstacle scattering
Haoren Xiong
We show that all resonances in Dirichlet obstacle scattering (in in odd dimensions and in the logarithmic cover of in even dimensions) are g…
Resonances as viscosity limits for black box perturbations
Haoren Xiong
We show that the complex absorbing potential (CAP) method for computing scattering resonances applies to an abstractly defined class of black box perturbations of the Laplacian in…
Resonances as Viscosity Limits for Exponentially Decaying Potentials
Haoren Xiong
We show that the complex absorbing potential (CAP) method for computing scattering resonances applies to the case of exponentially decaying potentials. That means that the eigenval…
Resonances as Viscosity Limits for Exterior Dilation Analytic Potentials
Haoren Xiong
For exterior dilation analytic potential, , we use the method of complex scaling to show that the resonances of , in a conic neighbourhood of the real axis, are limits…