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We prove multiplier theorems on rank one noncompact symmetric spaces whichimprove aspects of existing results. A common theme of our main results is thatwe partially drop specific assumptions on the multiplier function such as aMikhlin-H\"ormander condition. These are replaced by a requirement that partsof the multiplier function on the critical $p$ strip give rise to boundedFourier multipliers.

Improved multiplier theorems on rank one noncompact symmetric spaces