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WILD SPECTRAL BEHAVIOUR OF ANHARMONIC OSCILLATORS

Published online by Cambridge University Press:  01 July 2000

E. B. DAVIES
E. B. DAVIES
Affiliation:
Department of Mathematics, King's College, Strand, London WC2R 2LS
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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.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 4 , July 2000 , pp. 432 - 438
Copyright
© The London Mathematical Society 2000

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