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