Abstract
A necessary and sufficient condition is given for a sum of squares operator to be globally hypoelliptic on an N-dimensional torus. This condition is expressed in terms of Diophantine approximation properties of the coefficients. The proof of the Theorem is based on L2-estimates and microlocalization. © 2000 Academic Press.
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APA
Himonas, A. A., & Petronilho, G. (2000). Global Hypoellipticity and Simultaneous Approximability. Journal of Functional Analysis, 170(2), 356–365. https://doi.org/10.1006/jfan.1999.3524
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