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are given by "strongly singular kernels" (cf. [9]). Oscillating multipliers have already been studied extensively in the context of Rn (cf. [9], [10], [21], [22], [23], [26]). Some of these results have been generalised to stratified nilpotent Lie groups (cf. [19]) and to rank one noncompact symmetric spaces (cf. [11]). In this article we study the oscillating multipliers in the context of connected Lie groups of polynomial volume growth and Riemannian manifolds of nonnegative Ricci curvature. More nreciselv:

Oscillating multipliers on Lie groups and Riemannian manifolds