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Classical and quantum resonances for hyperbolic surfaces

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 نشر من قبل Tobias Weich
 تاريخ النشر 2016
  مجال البحث
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For compact and for convex co-compact oriented hyperbolic surfaces, we prove an explicit correspondence between classical Ruelle resonant states and quantum resonant states, except at negative integers where the correspondence involves holomorphic sections of line bundles.



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