In the context of Paley-Littlewood theory, based on divide and conquer strategy in order to separate high frequencies from medium and low ones authors use the dyadic decomposition that is they take annulus of the form $\{ \xi \in \mathbb{R}^d | 2^k \leq |\xi| \leq 2^{k+1}\}$ where $k\in \mathbb{Z}$. My question is why $2^k$ and not $3^k$ for example; why those dyadic models, do they have a special meaning or additional advantages?
2026-05-10 16:26:37.1778430397
Why using dyadic decomposition
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