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math.AP2021★ 3 cited
Resolvent estimates for the magnetic Hamiltonian with singular vector potentials and applications
Mengxuan Yang
For the magnetic Hamiltonian with singular vector potentials, we analytically continue the resolvent to a logarithmic neighborhood of the positive real axis and prove resolvent est…
math.AP2021★ 4 cited
The wave trace and resonances of the magnetic Hamiltonian with singular vector potentials
Mengxuan Yang
We study leading order singularities of the wave trace of the Aharonov--Bohm Hamiltonian on with multiple solenoids under a generic assumption that no three solenoid…