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Preprint Aug 2026

Quantitative Uniqueness and Rough Damping on $\mathbb T^2$

Motivated by a conjecture of Burq and G\'erard, we investigate quantitative uniqueness principles for functions on $\mathbb T^2$ whose Fourier spectra lie in fixed-width annuli. We obtain observability estimates uniform in the radius, under a mild Sobolev regularity condition, and the generalized geometric control cond...

B. Jaye, Rahul Sethi · 0 citations

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