On the boundedness and unboundedness of certain convolution operators on nilpotent Lie groups
Proc. Amer. Math. Soc. 39 (1973), 409-413
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Abstract: One method of proving irreducibility of the ``principal series'' representations of semisimple Lie groups involves showing that a certain nonintegrable function on a nilpotent subgroup cannot be regularized to give a bounded convolution operator on . This note gives an elementary proof of this unboundedness property for the groups which occur in real-rank one semisimple groups.
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E. Littlewood, and G.
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W. Knapp and E.
M. Stein, Intertwining operators for semisimple groups, Ann.
of Math. (2) 93 (1971), 489–578. MR
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- A. W. Knapp and E. M. Stein, Intertwining operators for semi-simple groups, Ann. of Math. (2) 93 (1971), 489-578. MR 0460543 (57:536)
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