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

Sagun Chanillo
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Abstract

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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Sagun Chanillo. 2001-08-31. Kirillov theory, Treves strata, Schrodinger equations and analytic hypoellipticity of sums of squares. https://arxiv.org/abs/math/0107106

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