Multipliers for the Weyl transform and Laguerre expansions
Let Pk denote the projection of L2(RR) onto the kth eigenspace of the operator (-δ+⋎x⋎2 andSNα=(1/ANα)ΣkN=0AN−kαPk. We study the multiplier transformTNα for the Weyl transform W defined byW(TNαf)=SnαW(f). Applications to Laguerre expansions are given.
Volume 130, 2020
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