12 citations · 33 across the 13 of their papers we have counts for
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Bounds for spectral projectors on the three-dimensional torus
Pierre Germain, Simon L. Rydin Myerson, Daniel Pezzi
We study to operator norms of spectral projectors for the Euclidean Laplacian on the torus in the case where the spectral window is narrow. With a window of constant si…
Bounds for spectral projectors on generic tori
Pierre Germain, Simon L. Rydin Myerson
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 prov…
Bounds for spectral projectors on tori
Pierre Germain, Simon Leo Rydin Myerson
We investigate norms of spectral projectors on thin spherical shells for the Laplacian on tori. This is closely related to the boundedness of resolvents of the Laplacian, and to th…
Strichartz estimates for the Schroedinger equation on non-rectangular two-dimensional tori
Yu Deng, Pierre Germain, Larry Guth +1
We propose a conjecture for long time Strichartz estimates on generic (non-rectangular) flat tori. We proceed to partially prove it in dimension 2. Our arguments involve on the one…