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Conditions for the spectrum associated with an asymptotically straight leaky wire to contain an interval [− α2/4, ∞)

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Abstract.

The method of singular sequences is used to provide a simple and, in some respects, a more general proof of a known spectral result for leaky wires. The method introduces a new concept of asymptotic straightness.

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Authors and Affiliations

  1. Department of Computer Science, University of Cardiff, Cardiff, CF24 3XF, United Kingdom

    B. M. Brown & M. S. P. Eastham

  2. Institute of Mathematical and Physical Sciences, Aberystwyth University, Penglais, Aberystwyth, Ceredigion, SY23 3BZ, United Kingdom

    I. G. Wood

Authors
  1. B. M. Brown
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  2. M. S. P. Eastham
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  3. I. G. Wood
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Correspondence to B. M. Brown.

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Received: 4 October 2007

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Brown, B.M., Eastham, M.S.P. & Wood, I.G. Conditions for the spectrum associated with an asymptotically straight leaky wire to contain an interval [− α2/4, ∞). Arch. Math. 90, 554–558 (2008). https://doi.org/10.1007/s00013-008-2612-1

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  • DOI: https://doi.org/10.1007/s00013-008-2612-1

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