Liouville's theorem for homogeneous differential operators

References

• Geller , D. 1983 . Liouville's theorem for homogeneous groups . Comm. P.D.E , 8 ( 15 ) : 1995 – 1977 .
   Web of Science ®Google Scholar
• Tichmarsh , E.C. 1937 . “ Introductin to the theory of Fourier integrals ” . Oxford Univ. Press .
   Google Scholar
• Egorov , V. 1979 . On a class of Pseudo—differential operators . Mat. Sb , 79 : 59 – 77 . (Russian)
   Google Scholar
• Egorov , V. Yu. 1986 . “ Linear differential equation of principal type ” . London : Comsultants Bureau .
   Google Scholar
• Hormander , L. 1985 . “ The analysis of linear partial differential operators ” . Vol. IV , Heidelberg, , Berlin : Springer—Verlag . Tokyo
   Google Scholar
• Rothchild , L.P. and Stein , E.M. 1976 . Hypoelliptic differential operators and nilpotent groups . Acta Math , 137 : 247 – 320 .
   Web of Science ®Google Scholar
• Rothchild , L.P. 1983 . A remark on hypoellipticity of homogeneous invariant differential operators on nilpotent Lie groups . Comm. P.D.E , 8 ( 15 ) : 1679 – 1682 .
   Web of Science ®Google Scholar
• Helffer , B. and Nourrigat , J. 1979 . Characterization des operators hypoelliptiques homogenes invariant a gauche sur un group Lie nilpotent gradue . Comm. P.D.E , 4 ( 8 ) : 899 – 958 .
   Google Scholar