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

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

2001-07-13

arxiv.org/abs/math/0107106v4

Mathematics

Analysis of PDEs

34 pages, typos corrected

Scientific paper

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.

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