Local solvability on {mathbb{H}_1}: non-homogeneous operators |
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Authors: | Christopher Winfield |
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Affiliation: | 1. Madison Area Science and Technology, Christopher Winfield, C/O MAST, 105 Alhambra Place #2, Madison, WI, 53713, USA
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Abstract: | Local solvability and non-solvability are classified for left-invariant differential operators on the Heisenberg group ${mathbb{H}_1}$ of the form L?=?P n (X, Y)?+?Q(X, Y) where the P n are certain homogeneous polynomials of order n?≥ 2 and Q is of lower order with ${X=partial_x,,Y=partial_y+xpartial_w}$ on ${mathbb{R}^3}$ . We extend previous studies of operators of the form P n (X, Y) via representations involving ordinary differential operators with a parameter. |
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