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- W2091613426 abstract "We provide new information concerning the pseudospectra of the complex harmonic oscillator. Our analysis illustrates two dierent tech- niques for getting resolvent norm estimates. The first uses the JWKB method and extends for this particular potential some results obtained recently by E.B. Davies. The second relies on the fact that the bounded holomorphic semigroup generated by the complex harmonic oscillator is of Hilbert-Schmidt type in a maximal angular region. In order to show this last property, we deduce a non-self-adjoint version of the classical Mehler's formula." @default.
- W2091613426 created "2016-06-24" @default.
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- W2091613426 date "1999-09-29" @default.
- W2091613426 modified "2023-09-27" @default.
- W2091613426 title "Non-self-adjoint harmonic oscillator, compact semigroups and pseudospectra" @default.
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