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For questions about mathematical notation, i.e. the symbols used to represent mathematical objects and operations.
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Spectral multiplier and Littlewood-Paley projection
I am trying to understand this paper, and have some basic question, and hope this is OK for the MO.
Let $f\in \mathcal{S}(\mathbb R^d)$ (Schwartz Space).
We know that $\widehat{\nabla f}(\xi)= 2 \ …