期刊
JOURNAL OF FUNCTIONAL ANALYSIS
卷 170, 期 2, 页码 356-365出版社
ACADEMIC PRESS INC
DOI: 10.1006/jfan.1999.3524
关键词
global hypoellipticity; Fourier transform; Diophantine approximations
类别
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 L-2-estimates and microlocalization. (C) 2000 Academic Press.
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