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Global analytic regularity for sums of squares of vector fields
Authors:Paulo D. Cordaro   A. Alexandrou Himonas
Affiliation:IME - USP, Caixa Postal 66281, CEP 05389-970, São Paulo, SP, Brazil ; Department of Mathematics, University of Notre Dame, Notre Dame, Indiana 46556
Abstract:
We consider a class of operators in the form of a sum of squares of vector fields with real analytic coefficients on the torus and we show that the zero order term may influence their global analytic hypoellipticity. Also we extend a result of Cordaro-Himonas.

Keywords:Analytic hypoellipticity   global   torus   sum of squares of vector fields   finite type   subelliptic
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