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arXiv · 1703.08040

Spectral analysis of Morse-Smale flows I: construction of the anisotropic spaces

Nguyen Viet Dang·Gabriel Riviere
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Abstract

We prove the existence of a discrete correlation spectrum for Morse-Smale flows acting on smooth forms on a compact manifold. This is done by constructing spaces of currents with anisotropic Sobolev regularity on which the Lie derivative has a discrete spectrum.

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Nguyen Viet Dang, Gabriel Riviere. 2018-08-30. Spectral analysis of Morse-Smale flows I: construction of the anisotropic spaces. https://arxiv.org/abs/1703.08040

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