Remarks about global analytic hypoellipticity

Bergamasco, Adalberto

doi:10.1090/S0002-9947-99-02299-0

Remarks about global analytic hypoellipticity
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by Adalberto P. Bergamasco

Trans. Amer. Math. Soc. 351 (1999), 4113-4126

DOI: https://doi.org/10.1090/S0002-9947-99-02299-0

Published electronically: March 19, 1999

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Abstract:

We present a characterization of the operators \[ L=\partial /\partial t+(a(t)+ib(t))\partial /\partial x\] which are globally analytic hypoelliptic on the torus. We give information about the global analytic hypoellipticity of certain overdetermined systems and of sums of squares.

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