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math.AP2018★ 11 cited
Magnetic pseudodifferential operators represented as generalized Hofstadter-like matrices
Horia D. Cornean, Henrik Garde, Benjamin Støttrup +1
First, we reconsider the magnetic pseudodifferential calculus and show that for a large class of non-decaying symbols, their corresponding magnetic pseudodifferential operators can…
math.SP2018
A local directional growth estimate of the resolvent norm
Horia D. Cornean, Henrik Garde, Arne Jensen +1
We study the resolvent norm of a certain class of closed linear operators on a Hilbert space, including unbounded operators with compact resolvent. It is shown that for any point i…