WILD SPECTRAL BEHAVIOUR OF ANHARMONIC OSCILLATORS

E. B. DAVIES

doi:10.1112/S0024609300007050

Abstract

We show that the norms of the sequence of spectral projections of certain non-self-adjoint ordinary differential operators cannot be polynomially bounded. The proof involves the investigation of ‘tame’ bi-orthogonal systems in Banach spaces.

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WILD SPECTRAL BEHAVIOUR OF ANHARMONIC OSCILLATORS

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