Vol. 43, No. 2, 1972

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Bi-invariant pseudo-local operators on Lie groups

Linda Preiss Rothschild

Vol. 43 (1972), No. 2, 503–510
Abstract

Let G be a connected Lie group whose Lie algebra is not the semi-direct sum of a compact algebra and a solvable algebra. It is shown that any bi-invariant pseudo-local operator on G is the sum of an invariant differential operator and an operator with smooth kernel.

Mathematical Subject Classification 2000
Primary: 20E30
Secondary: 47F05, 58G15
Milestones
Received: 19 April 1971
Revised: 28 September 1971
Published: 1 November 1972
Authors
Linda Preiss Rothschild