Abstract
I collect here some results concerning implications of a topological nature of conditions such as ellipticity or hypoellipticity of a differential or pseudodifferential operator. Results of this kind help to better understand the scope of hypotheses of such essentially analytic conditions. This is of interest, in particular, in the case of complexes of differential operators, whether elliptic or not (for example, CR complexes).
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, Globally analytic hypoelliptic vector fields on compact surfaces. Proc. Amer. Math. Soc. 136 (2008), no. 4, 13051310.
, Subbundles of the complexified tangent bundle, Trans. Amer. Math. Soc. 355 (2003), 4201–4222.Author information
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Mendoza, G.A. (2013). Topological Implications of Global Hypoellipticity. In: Grieser, D., Teufel, S., Vasy, A. (eds) Microlocal Methods in Mathematical Physics and Global Analysis. Trends in Mathematics(). Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-0466-0_29
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DOI: https://doi.org/10.1007/978-3-0348-0466-0_29
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