Abstract
McKean [1] has shown that only finitely many compact Riemann surfaces have a given spectrum. In this chapter we give an explicit bound which depends only on the genus. The proof covers Sections 13.2 - 13.4. In the first section we state the result and give a proof of McKean’s theorem in order to outline the approach. In the first section we also review the necessary material from earlier chapters.
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Buser, P. (2010). The Size of Isospectral Families. In: Geometry and Spectra of Compact Riemann Surfaces. Modern Birkhäuser Classics. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4992-0_13
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DOI: https://doi.org/10.1007/978-0-8176-4992-0_13
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Publisher Name: Birkhäuser Boston
Print ISBN: 978-0-8176-4991-3
Online ISBN: 978-0-8176-4992-0
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