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Representations of differential operators on a Lie group

open access: yesJournal of Functional Analysis, 1975
AbstractIn this paper we apply the theory of second-order partial differential operators with nonnegative characteristic form to representations of Lie groups. We are concerned with a continuous representation U of a Lie group G in a Banach space B. Let E be the enveloping algebra of G, and let dU be the infinitesimal homomorphism of E into operators ...
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