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The cohomological equation and invariant distributions for horocycle maps

  • JAMES TANIS (a1)

Abstract

We study the invariant distributions for horocycle maps on $\Gamma \backslash SL(2, \mathbb {R})$ and prove Sobolev estimates for the cohomological equation of horocycle maps. As an application, we obtain a rate of equidistribution for horocycle maps on compact manifolds.

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The cohomological equation and invariant distributions for horocycle maps

  • JAMES TANIS (a1)

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