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Solvability of second-order left-invariant differential operators on the Heisenberg group satisfying a cone condition
Authors:Detlef?Müller  author-information"  >  author-information__contact u-icon-before"  >  mailto:mueller@math.uni-kiel.de"   title="  mueller@math.uni-kiel.de"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author,Fulvio?Ricci
Affiliation:1.Mathematisches Seminar,Christian-Albrechts-Universit?t zu Kiel,Kiel,Germany;2.Dipartimento di Matematica,Politecnico di Torino,Torino,Italy
Abstract:We discuss local solvability of operators of the form 
$$sumlimits_{j,k = 1}^{2n} {a_{jk} V_j V_k  + ialpha U} $$
where theV j are left-invariant vector fields on the Heisenberg group such that [V j ,V j+n ]=U for 1≤jn andA=(a jk )=A 1+iA 2 is a complex symmetric matrix satisfying the “cone condition” |A 2|≤CA 1. The authors acknowledge the support for this work by the European Commission through the European HCM-program “Fourier Analysis” and the TMR network “Harmonic Analysis”.
Keywords:
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