On necessary multiplier conditions for Laguerre expansions II
Authors: George Gasper and Walter Trebels
Abstract:
The necessary multiplier conditions for Laguerre expansions derived in
Gasper and Trebels [Necessary multiplier conditions for Laguerre
expansions, Canad. J. Math. 43 (1991), pp. 1228 -- 1242].
are supplemented and modified. This allows us to place Markett's Cohen
type inequality [Cohen type inequalities for Jacobi, Laguerre and
Hermite expansions, SIAM J. Math. Anal. 14 (1983), pp.819-833]
(up to the $\log $--case) in the general framework of necessary conditions.
This article published in
SIAM J. Math. Anal. 25 (1994), 384-391.
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