arXiv:math/0107106 Abstract

arXiv:math/0107106 [math.AP]Abstract References Reviews Resources

Kirillov theory, Treves strata, Schrodinger equations and analytic hypoellipticity of sums of squares

Published 2001-07-13, updated 2001-08-31Version 4

We attach representations to non-symplectic stratum in the characteristic set of real vector fields. This leads to Schrodinger operators. The analysis of the solutions of these Schrodinger equations allows us to construct smooth, non-analytic solutions of the sub-elliptic operator formed by taking sums of squares of the real vector fields.

Comments: 34 pages, typos corrected

Categories: math.AP, math.RT

Keywords: schrodinger equations, analytic hypoellipticity, treves strata, kirillov theory, real vector fields

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