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A sharp spectral multiplier theorem on the Engel group

Year: 2026
Type: preprint
Abstract: We prove a spectral multiplier theorem for the standard sub-Laplacian on the Engel group under a scale-invariant local $H^s$ condition with $s>2$. The multiplier operators $F(\mathcal L)$ are of weak type $(1,1)$ and bounded on $L^p$ for every $1
Language: English
Open Access status: green
OpenAlex ID: W7220918212
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