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Subcoercivity and subelliptic operators on Lie groups II: The general case
Authors:A F M Ter Elst  Derek W Robinson
Institution:1. Centre for Mathematics and its Applications, School of Mathematical Sciences, Australian National University, GPO Box 4, 2601, Canberra, ACT, Australia
Abstract:Let (chi,G, U) be a continuous representation of a Lie groupG by bounded operatorsg mapU (g) on the Banach space chi and let (chi, 
$$\mathfrak{g}$$
,dU) denote the representation of the Lie algebra 
$$\mathfrak{g}$$
obtained by differentiation. Ifa 1, ...,a dprime is a Lie algebra basis of 
$$\mathfrak{g}$$
,A i =dU (a i ) and 
$$A^\alpha   = A_{i_1 } ...A_{i_k } $$
whenever agr=(i 1, ...,i k ) we reconsider the operators

$$H = \sum\limits_{\alpha ;\left| \alpha  \right| \leqslant 2n} { c_\alpha  A^\alpha  } $$
Keywords:Mathematics Subject Classifications (1991)" target="_blank">Mathematics Subject Classifications (1991)  43A65  22E45  35B45  35J15  35J30  58G03  22E25
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