Semi-classical Analysis and Pseudospectra
classification
🧮 math.SP
keywords
semi-classicalinvestigatelimitoperatorspseudospectraanalysisapplicationsapproximate
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We prove an approximate spectral theorem for non-self-adjoint operators and investigate its applications to second order differential operators in the semi-classical limit. This leads to the construction of a twisted FBI transform. We also investigate the connections between pseudospectra and boundary conditions in the semi-classical limit.
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