Semi-classical analysis and pseudo-spectra |
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Authors: | EB Davies |
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Institution: | Department of Mathematics, King's College, Strand, London WC2R 2LS, UK |
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Abstract: | 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 pseudo-spectra and boundary conditions in the semi-classical limit. |
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Keywords: | 81Q20 47Axx 34Lxx |
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