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Bounds for spectral projectors on generic tori (2207.02967v2)

Published 6 Jul 2022 in math.AP, math.CA, and math.NT

Abstract: We investigate norms of spectral projectors on thin spherical shells for the Laplacian on generic tori, including generic rectangular tori. We state a conjecture and partially prove it, improving on previous results concerning arbitrary tori.

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