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Nonexistence of spectral gaps in Holder spaces for continuous time dynamical systems

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 نشر من قبل Ian Melbourne
 تاريخ النشر 2021
  مجال البحث
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We show that there is a natural restriction on the smoothness of spaces where the transfer operator for a continuous dynamical system has a spectral gap. Such a space cannot be embedded in a Holder space with Holder exponent greater than 1/2 unless it consists entirely of coboundaries.



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