Bi-invariant pseudo-local operators on Lie groups

Linda Preiss Rothschild

Vol. 43 (1972), No. 2, 503–510

DOI: 10.2140/pjm.1972.43.503

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